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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 250 · 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. 1.8 × ? + 9 = 129
  2. 2.Solve for x: 4(x + 9) = 2x + 52. What is x?
  3. 3.I think of a number, multiply it by 9 and then add 20. The answer is 137. What is my number?
  4. 4.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  7. 7.12 × ? − 4 = 56
  8. 8.7 × ? − 24 = 32
  9. 9.2 × ? + 18 = 32
  10. 10.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹271 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 3 and then take away 27. The answer is 45. What is my number?
  12. 12.I think of a number, multiply it by 7 and then take away 21. The answer is 49. What is my number?
  13. 13.Solve for x: 7(x + 9) = 5x + 69. What is x?
  14. 14.I think of a number, multiply it by 5 and then take away 15. The answer is 30. What is my number?
  15. 15.I think of a number, multiply it by 7 and then take away 22. The answer is 69. What is my number?
  16. 16.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  17. 17.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  19. 19.11 × ? + 25 = 278
  20. 20.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  21. 21.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  23. 23.10 × ? − 10 = 120
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  25. 25.12 × ? − 8 = 76
  26. 26.I think of a number, multiply it by 9 and then add 22. The answer is 283. What is my number?
  27. 27.I think of a number, multiply it by 7 and then take away 19. The answer is 184. What is my number?
  28. 28.12 × ? + 2 = 218
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  32. 32.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 3 and then add 9. The answer is 93. What is my number?
  34. 34.Dev has 25 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  35. 35.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 4 and then add 6. The answer is 90. What is my number?
  37. 37.Diya has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  38. 38.10 × ? − 18 = 172
  39. 39.Solve for x: 6(x + 9) = 3x + 78. What is x?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?

Answer key

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

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