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Class 8 › Mathematics › Chapter Linear Equations in One Variable

Q.1 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.2 The ages of Hari and Harry are in the ratio of 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.3 Solve the following equations.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.4 Simplify and solve the following linear equations.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.5 Aman’s age is three times his son’s age. Ten years ago, he was five times his son’s age. Find their present ages.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.6 A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.7 Half of a herd of deer is grazing in the field, and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.8 Hasan buys two kinds of cloth materials for school uniforms; shirt material that costs him ₹50 per metre and trouser material that costs him ₹90 per metre.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.9 There is a narrow rectangular plot reserved for a school in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per metre, it will cost the village panchayat ₹75000 to fence the plot.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.10 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one-third of his mother’s present age. What are their present ages?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.11 One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.12 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.13 A positive number is 5 times another number. If 21 is added to both numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.14 Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.15 The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.16 Solve the following equations and check your results.

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.17 I have a total of ₹300 in coins of denomination ₹1, ₹2 and ₹5. The number of ₹2 coins is 3 times the number of ₹5 coins. The total number of coins is 160. How many coins of each denomination are with me?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.18 Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.19 A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

Q.20 Fifteen years from now, Ravi’s age will be four times his present age. What is Ravi’s present age?

Class 8 • Mathematics • Chapter: Linear Equations in One Variable

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Q.1 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1

Q.2 The ages of Hari and Harry are in the ratio of 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.

Q.3 Solve the following equations.

Q.4 Simplify and solve the following linear equations.

Q.5 Aman’s age is three times his son’s age. Ten years ago, he was five times his son’s age. Find their present ages.

Q.6 A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Q.7 Half of a herd of deer is grazing in the field, and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Q.8 Hasan buys two kinds of cloth materials for school uniforms; shirt material that costs him ₹50 per metre and trouser material that costs him ₹90 per metre.

Q.9 There is a narrow rectangular plot reserved for a school in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per metre, it will cost the village panchayat ₹75000 to fence the plot.

Q.10 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one-third of his mother’s present age. What are their present ages?

Q.11 One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

Q.12 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27.

Q.13 A positive number is 5 times another number. If 21 is added to both numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Q.14 Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Q.15 The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25.

Q.16 Solve the following equations and check your results.

Q.17 I have a total of ₹300 in coins of denomination ₹1, ₹2 and ₹5. The number of ₹2 coins is 3 times the number of ₹5 coins. The total number of coins is 160. How many coins of each denomination are with me?

Q.18 Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

Q.19 A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

Q.20 Fifteen years from now, Ravi’s age will be four times his present age. What is Ravi’s present age?

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Academics Q&A - Browse

Academics - Browse

Q.1 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1

Q.2 The ages of Hari and Harry are in the ratio of 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.

Q.3 Solve the following equations.

Q.4 Simplify and solve the following linear equations.

Q.5 Aman’s age is three times his son’s age. Ten years ago, he was five times his son’s age. Find their present ages.

Q.6 A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Q.7 Half of a herd of deer is grazing in the field, and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Q.8 Hasan buys two kinds of cloth materials for school uniforms; shirt material that costs him ₹50 per metre and trouser material that costs him ₹90 per metre.

Q.9 There is a narrow rectangular plot reserved for a school in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per metre, it will cost the village panchayat ₹75000 to fence the plot.

Q.10 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one-third of his mother’s present age. What are their present ages?

Q.11 One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

Q.12 Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27.

Q.13 A positive number is 5 times another number. If 21 is added to both numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Q.14 Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Q.15 The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25.

Q.16 Solve the following equations and check your results.

Q.17 I have a total of ₹300 in coins of denomination ₹1, ₹2 and ₹5. The number of ₹2 coins is 3 times the number of ₹5 coins. The total number of coins is 160. How many coins of each denomination are with me?

Q.18 Lakshmi is a cashier in a bank. She has currency notes of denominations ₹100, ₹50 and ₹10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is ₹4,00,000. How many notes of each denomination does she have?

Q.19 A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

Q.20 Fifteen years from now, Ravi’s age will be four times his present age. What is Ravi’s present age?