← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 864 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.I think of a number, multiply it by 6 and then add 2. The answer is 74. What is my number?
  2. 2.5 × ? + 16 = 26
  3. 3.I think of a number, multiply it by 6 and then take away 15. The answer is 159. What is my number?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  5. 5.A pen costs ₹6 more than a pencil. 6 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  7. 7.12 × ? − 20 = 256
  8. 8.Solve for x: 5(x + 7) = 4x + 51. What is x?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 9 and then take away 21. The answer is 87. What is my number?
  11. 11.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  13. 13.Solve for x: 8(x + 1) = 6x + 12. What is x?
  14. 14.I think of a number, multiply it by 2 and then add 24. The answer is 80. What is my number?
  15. 15.Solve for x: 4(x + 2) = 3x + 23. What is x?
  16. 16.Solve for x: 9(x + 8) = 3x + 192. What is x?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  18. 18.10 × ? + 25 = 215
  19. 19.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  22. 22.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  23. 23.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  24. 24.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  26. 26.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  28. 28.6 × ? − 10 = 80
  29. 29.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then add 17. The answer is 27. What is my number?
  31. 31.I think of a number, multiply it by 4 and then add 27. The answer is 43. What is my number?
  32. 32.Solve for x: 7(x + 4) = 6x + 43. What is x?
  33. 33.2 × ? + 24 = 72
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  35. 35.7 × ? − 11 = 10
  36. 36.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 3 and then add 16. The answer is 97. What is my number?
  39. 39.I think of a number, multiply it by 3 and then add 14. The answer is 92. What is my number?
  40. 40.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?

Answer key

  1. 12
  2. 2
  3. 29
  4. 21
  5. 6
  6. 3
  7. 23
  8. 16
  9. 15
  10. 12
  11. 13
  12. 30
  13. 2
  14. 28
  15. 15
  16. 20
  17. 4
  18. 19
  19. 13
  20. 13
  21. 6
  22. 6
  23. 19
  24. 7
  25. 30
  26. 13
  27. 29
  28. 15
  29. 3
  30. 5
  31. 4
  32. 15
  33. 24
  34. 25
  35. 3
  36. 6
  37. 5
  38. 27
  39. 26
  40. 4

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude