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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 643 · 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.

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  1. 1.I think of a number, multiply it by 2 and then add 22. The answer is 74. What is my number?
  2. 2.I think of a number, multiply it by 6 and then take away 39. The answer is 141. What is my number?
  3. 3.Solve for x: 7(x + 1) = x + 115. What is x?
  4. 4.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 4(x + 6) = x + 72. What is x?
  7. 7.I think of a number, multiply it by 7 and then take away 35. The answer is 112. What is my number?
  8. 8.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  9. 9.2 × ? − 11 = 5
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 4 and then take away 24. The answer is 8. What is my number?
  13. 13.Solve for x: 7(x + 5) = 3x + 87. What is x?
  14. 14.9 × ? + 1 = 46
  15. 15.2 × ? + 5 = 39
  16. 16.4 × ? + 6 = 58
  17. 17.I think of a number, multiply it by 6 and then take away 15. The answer is 57. What is my number?
  18. 18.11 × ? + 29 = 205
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  20. 20.3 × ? + 4 = 67
  21. 21.Solve for x: 4(x + 2) = x + 38. What is x?
  22. 22.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 4 and then add 39. The answer is 67. What is my number?
  25. 25.Solve for x: 5(x + 6) = 2x + 87. What is x?
  26. 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  28. 28.Solve for x: 9(x + 7) = 4x + 158. What is x?
  29. 29.9 × ? + 30 = 48
  30. 30.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  32. 32.Solve for x: 8(x + 3) = x + 31. What is x?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then take away 20. The answer is 220. What is my number?
  35. 35.Solve for x: 9(x + 3) = 2x + 48. What is x?
  36. 36.Solve for x: 6(x + 2) = 2x + 56. What is x?
  37. 37.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  38. 38.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  39. 39.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?

Answer key

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

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