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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 918 · 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. 1.6 × ? + 29 = 59
  2. 2.I think of a number, multiply it by 3 and then take away 5. The answer is 25. What is my number?
  3. 3.Solve for x: 6(x + 7) = 5x + 62. What is x?
  4. 4.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  5. 5.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 3 and then add 36. The answer is 102. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  8. 8.4 × ? − 4 = 72
  9. 9.I think of a number, multiply it by 5 and then add 18. The answer is 153. What is my number?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 9 and then take away 25. The answer is 29. What is my number?
  12. 12.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  13. 13.9 × ? − 1 = 80
  14. 14.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 9 and then add 22. The answer is 58. What is my number?
  16. 16.Solve for x: 9(x + 4) = 8x + 52. What is x?
  17. 17.5 × ? − 21 = 14
  18. 18.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then take away 12. The answer is 72. What is my number?
  20. 20.I think of a number, multiply it by 2 and then add 29. The answer is 45. What is my number?
  21. 21.6 × ? + 23 = 137
  22. 22.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 9(x + 4) = x + 156. What is x?
  24. 24.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 7 and then take away 40. The answer is 86. What is my number?
  26. 26.11 × ? − 13 = 119
  27. 27.10 × ? + 29 = 69
  28. 28.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 5 and then add 5. The answer is 140. What is my number?
  30. 30.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  32. 32.8 × ? − 3 = 173
  33. 33.I think of a number, multiply it by 5 and then add 13. The answer is 93. What is my number?
  34. 34.I think of a number, multiply it by 4 and then take away 28. The answer is 92. What is my number?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  36. 36.Solve for x: 3(x + 4) = 2x + 19. What is x?
  37. 37.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 9 and then take away 26. The answer is 172. What is my number?
  39. 39.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 9 and then add 15. The answer is 105. What is my number?

Answer key

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

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