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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 10 · 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 take away 36. The answer is 72. What is my number?
  2. 2.10 × ? + 2 = 212
  3. 3.I think of a number, multiply it by 5 and then add 14. The answer is 74. What is my number?
  4. 4.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 4(x + 8) = 3x + 37. What is x?
  6. 6.Solve for x: 6(x + 7) = 2x + 46. What is x?
  7. 7.Solve for x: 5(x + 4) = 4x + 31. What is x?
  8. 8.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then take away 39. The answer is 21. What is my number?
  11. 11.I think of a number, multiply it by 4 and then add 24. The answer is 64. What is my number?
  12. 12.I think of a number, multiply it by 6 and then add 31. The answer is 55. What is my number?
  13. 13.I think of a number, multiply it by 4 and then add 26. The answer is 38. What is my number?
  14. 14.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then take away 11. The answer is 125. What is my number?
  17. 17.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 8 and then take away 32. The answer is 64. What is my number?
  19. 19.Solve for x: 5(x + 8) = x + 64. What is x?
  20. 20.I think of a number, multiply it by 7 and then add 3. The answer is 213. What is my number?
  21. 21.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then take away 2. The answer is 38. What is my number?
  24. 24.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  25. 25.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  26. 26.11 × ? + 9 = 86
  27. 27.9 × ? − 23 = 67
  28. 28.6 × ? + 1 = 49
  29. 29.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 6 and then add 28. The answer is 196. What is my number?
  31. 31.Solve for x: 6(x + 2) = 5x + 26. What is x?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  33. 33.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  34. 34.4 × ? − 5 = 19
  35. 35.5 × ? + 24 = 99
  36. 36.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 6(x + 2) = 3x + 66. What is x?
  38. 38.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  39. 39.12 × ? − 6 = 270
  40. 40.Solve for x: 4(x + 6) = x + 48. What is x?

Answer key

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

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