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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 854 · 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. 1.5 × ? − 16 = 9
  2. 2.3 × ? + 8 = 71
  3. 3.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 4 and then take away 22. The answer is 6. What is my number?
  5. 5.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  6. 6.7 × ? + 1 = 120
  7. 7.Solve for x: 8(x + 7) = 5x + 98. What is x?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  9. 9.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 7(x + 3) = 5x + 61. What is x?
  11. 11.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  12. 12.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  13. 13.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then take away 36. The answer is 12. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 27. The answer is 81. What is my number?
  17. 17.I think of a number, multiply it by 7 and then add 36. The answer is 134. What is my number?
  18. 18.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  19. 19.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  20. 20.3 × ? − 3 = 45
  21. 21.2 × ? − 5 = 35
  22. 22.5 × ? − 10 = 100
  23. 23.3 × ? + 5 = 77
  24. 24.Solve for x: 5(x + 8) = 4x + 52. What is x?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  26. 26.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 2 and then take away 14. The answer is 12. What is my number?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 5 and then add 6. The answer is 36. What is my number?
  30. 30.I think of a number, multiply it by 3 and then add 26. The answer is 59. What is my number?
  31. 31.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then take away 16. The answer is 17. What is my number?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 8 and then take away 7. The answer is 113. What is my number?
  35. 35.Solve for x: 4(x + 2) = x + 50. What is x?
  36. 36.I think of a number, multiply it by 2 and then add 20. The answer is 32. What is my number?
  37. 37.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹308 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 6(x + 1) = 2x + 34. What is x?
  39. 39.I think of a number, multiply it by 8 and then take away 19. The answer is 181. What is my number?
  40. 40.Solve for x: 4(x + 8) = 3x + 43. What is x?

Answer key

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

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