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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 712 · 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 4 and then take away 33. The answer is 3. What is my number?
  2. 2.I think of a number, multiply it by 4 and then take away 11. The answer is 57. What is my number?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  4. 4.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  5. 5.4 × ? − 9 = 63
  6. 6.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.9 × ? + 6 = 69
  9. 9.Solve for x: 9(x + 9) = 7x + 117. What is x?
  10. 10.3 × ? + 7 = 46
  11. 11.Solve for x: 5(x + 1) = 2x + 11. What is x?
  12. 12.A pen costs ₹9 more than a pencil. 4 pens and 5 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 9(x + 9) = 4x + 181. What is x?
  14. 14.I think of a number, multiply it by 2 and then take away 1. The answer is 27. What is my number?
  15. 15.Solve for x: 9(x + 7) = 5x + 83. What is x?
  16. 16.I think of a number, multiply it by 8 and then take away 36. The answer is 156. What is my number?
  17. 17.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  19. 19.5 × ? − 1 = 24
  20. 20.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹364 in all. What does one pencil cost (in ₹)?
  21. 21.10 × ? + 26 = 46
  22. 22.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  25. 25.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  26. 26.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  27. 27.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  28. 28.4 × ? + 5 = 73
  29. 29.12 × ? + 23 = 299
  30. 30.I think of a number, multiply it by 6 and then add 34. The answer is 130. What is my number?
  31. 31.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  33. 33.8 × ? − 5 = 187
  34. 34.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 4(x + 1) = x + 16. What is x?
  36. 36.Solve for x: 5(x + 5) = x + 101. What is x?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  39. 39.5 × ? − 11 = 99
  40. 40.I think of a number, multiply it by 5 and then add 5. The answer is 105. What is my number?

Answer key

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

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