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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 868 · 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 2 and then add 25. The answer is 37. What is my number?
  2. 2.I think of a number, multiply it by 5 and then add 5. The answer is 145. What is my number?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  4. 4.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  5. 5.3 × ? − 23 = 40
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then add 5. The answer is 21. What is my number?
  8. 8.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 15. The answer is 36. What is my number?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  12. 12.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 3 and then add 17. The answer is 80. What is my number?
  16. 16.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  18. 18.8 × ? − 29 = 35
  19. 19.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  20. 20.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  22. 22.2 × ? + 14 = 18
  23. 23.I think of a number, multiply it by 3 and then take away 32. The answer is 40. What is my number?
  24. 24.Solve for x: 8(x + 3) = x + 80. What is x?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  26. 26.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 7) = 3x + 44. What is x?
  28. 28.11 × ? + 15 = 92
  29. 29.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  30. 30.5 × ? + 19 = 74
  31. 31.2 × ? + 30 = 58
  32. 32.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 5(x + 9) = x + 57. What is x?
  34. 34.Solve for x: 4(x + 4) = 2x + 18. What is x?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 6(x + 3) = x + 28. What is x?
  38. 38.Solve for x: 3(x + 6) = x + 56. What is x?
  39. 39.Solve for x: 6(x + 9) = 4x + 64. What is x?
  40. 40.I think of a number, multiply it by 6 and then take away 9. The answer is 141. What is my number?

Answer key

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

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