CBSE Class 8 Mental Linear Equations In One Variable Worksheet

Question. 1. A number is as much greater than 36 as is less than 86. Find the number.
Answer: 61

Question. 2. Find a number such that when 15 is subtracted from 7 times the number, the result is 10 more than twixe the number.
Answer: 5

Question. 3. The sum of a rational number and its reciprocal is \( \frac{13}{6} \). Find the number.
Answer: 2/3 or 3/2

Question. 4. The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.
Answer: 72

Question. 5. The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers.
Answer: 28 & 17

Question. 6. If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers.
Answer: 4

Question. 7. The sum of two numbers is 15 and the sum of their squares is 113. Find the numbers.
Answer: 7 & 8

Question. 8. The average of four consecutive even numbers is 27. Find the largest of these numbers.
Answer: 30

Question. 9. The sum of the squares of three consecutive od numbers is 2531. Find the numbers.
Answer: 27, 29, 31

Question. 10. Of two numbers, 4 times the smaller one is less than 3 times the larger one by 5. If the sum of the numbers is larger than 5 times their difference by 6, find the two numbers.
Answer: 59 & 43

Question. 11. The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in the ten’s place, what is the number ?
Answer: 36

Question. 12. A number consists of two digits. The sum of the digits is 9. if 63 is subtracted from the number, its digits are interchanged. Find the number.
Answer: 81

Question. 13. A fraction becomes \( \frac{2}{3} \) when 1 is added to both, its numerator and denominator. And, it becomes \( \frac{1}{2} \) when 1 is subtracted from both the numerator and denominator. Find the fraction.
Answer: 3/5

Question. 14. 50 is divided into two parts such that the sum of their reciprocals is \( \frac{1}{12} \). Find the two parts.
Answer: 30 & 20

Question. 15. If three nyumbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers.
Answer: 6, 4, 15

Question. 16. Rajeev’s age after 15 years will be 5 times his age 5 years back. What is te present age of Rajeev?
Answer: 10 years

Question. 17. The ages of two persons differe by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present agaes.
Answer: 14 & 30 years

Question. 18. The product of the ages of Anket and Nikita is 240 . If twice the age or Nikita is more than Ankit’s age by 4 years, what is Nikita’s age?
Answer: 12 years

Question. 19. The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.
Answer: 33 years

Question. 20. Rohit was 4 times as old as his son 8 years ago. After 8 years, Rohit will be wtice as old as his son. What are their present ages ?
Answer: 16 & 40 years

Question. 21. One year ago, the ratio of Gaurav’s and Sachin’s age was 6 : 7 respectively. Four years hence, this ratio would become 7 : 8. How old is Sachin ?
Answer: 36 years

Question. 22. Abhay’s age after six years will be three-seventh of his father’s age at present ?
Answer: 50 years