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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 507 · 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 5 and then add 3. The answer is 23. What is my number?
  2. 2.I think of a number, multiply it by 2 and then add 16. The answer is 52. What is my number?
  3. 3.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 7(x + 5) = 4x + 53. What is x?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  6. 6.Solve for x: 8(x + 4) = 4x + 112. What is x?
  7. 7.I think of a number, multiply it by 4 and then add 33. The answer is 129. What is my number?
  8. 8.Solve for x: 8(x + 7) = 6x + 66. What is x?
  9. 9.Solve for x: 9(x + 4) = 2x + 141. What is x?
  10. 10.I think of a number, multiply it by 9 and then add 4. The answer is 211. What is my number?
  11. 11.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 7 and then add 19. The answer is 180. What is my number?
  13. 13.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 3 and then add 18. The answer is 66. What is my number?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  17. 17.Solve for x: 5(x + 5) = 2x + 73. What is x?
  18. 18.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 4 and then add 2. The answer is 78. What is my number?
  21. 21.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 5 and then take away 22. The answer is 33. What is my number?
  23. 23.I think of a number, multiply it by 6 and then add 15. The answer is 171. What is my number?
  24. 24.3 × ? + 8 = 68
  25. 25.4 × ? + 26 = 106
  26. 26.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 9 and then take away 27. The answer is 198. What is my number?
  28. 28.I think of a number, multiply it by 9 and then add 8. The answer is 80. What is my number?
  29. 29.6 × ? − 27 = 21
  30. 30.11 × ? − 17 = 115
  31. 31.7 × ? + 13 = 146
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  33. 33.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 7 and then take away 22. The answer is 188. What is my number?
  35. 35.I think of a number, multiply it by 8 and then add 28. The answer is 52. What is my number?
  36. 36.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  38. 38.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 3 and then take away 26. The answer is 10. What is my number?
  40. 40.I think of a number, multiply it by 7 and then take away 33. The answer is 114. What is my number?

Answer key

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

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