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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 686 · 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 4 and then take away 4. The answer is 96. What is my number?
  2. 2.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 5 and then take away 28. The answer is 32. What is my number?
  4. 4.Solve for x: 4(x + 1) = x + 28. What is x?
  5. 5.Solve for x: 9(x + 9) = 7x + 83. What is x?
  6. 6.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then take away 34. The answer is 12. What is my number?
  8. 8.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 2 and then take away 12. The answer is 28. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  11. 11.9 × ? + 16 = 232
  12. 12.11 × ? + 12 = 45
  13. 13.I think of a number, multiply it by 7 and then take away 27. The answer is 106. What is my number?
  14. 14.I think of a number, multiply it by 2 and then add 33. The answer is 73. What is my number?
  15. 15.Solve for x: 9(x + 1) = 3x + 99. What is x?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 6 and then add 12. The answer is 156. What is my number?
  18. 18.I think of a number, multiply it by 8 and then take away 7. The answer is 225. What is my number?
  19. 19.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  20. 20.5 × ? + 26 = 56
  21. 21.I think of a number, multiply it by 4 and then add 8. The answer is 72. What is my number?
  22. 22.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then add 5. The answer is 45. What is my number?
  25. 25.4 × ? − 7 = 5
  26. 26.Solve for x: 6(x + 9) = x + 79. What is x?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 2 and then take away 27. The answer is 7. What is my number?
  29. 29.Solve for x: 7(x + 4) = 2x + 123. What is x?
  30. 30.I think of a number, multiply it by 5 and then take away 26. The answer is 74. What is my number?
  31. 31.I think of a number, multiply it by 7 and then take away 30. The answer is 124. What is my number?
  32. 32.7 × ? − 1 = 97
  33. 33.2 × ? − 2 = 6
  34. 34.I think of a number, multiply it by 8 and then take away 20. The answer is 60. What is my number?
  35. 35.I think of a number, multiply it by 7 and then add 5. The answer is 215. What is my number?
  36. 36.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 3 and then add 3. The answer is 9. What is my number?
  38. 38.3 × ? + 9 = 33
  39. 39.5 × ? − 18 = 32
  40. 40.I think of a number, multiply it by 3 and then take away 16. The answer is 59. What is my number?

Answer key

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

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