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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 397 · 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.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then take away 5. The answer is 115. What is my number?
  3. 3.I think of a number, multiply it by 3 and then take away 11. The answer is 10. What is my number?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then add 3. The answer is 23. What is my number?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  7. 7.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 7 and then take away 10. The answer is 165. What is my number?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  10. 10.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then take away 14. The answer is 229. What is my number?
  13. 13.I think of a number, multiply it by 6 and then take away 12. The answer is 48. What is my number?
  14. 14.Solve for x: 8(x + 1) = 6x + 22. What is x?
  15. 15.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 6(x + 3) = 4x + 32. What is x?
  17. 17.I think of a number, multiply it by 5 and then add 18. The answer is 168. What is my number?
  18. 18.8 × ? + 10 = 122
  19. 19.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  20. 20.9 × ? + 30 = 57
  21. 21.10 × ? + 27 = 277
  22. 22.Solve for x: 9(x + 8) = 3x + 180. What is x?
  23. 23.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 8 and then take away 11. The answer is 21. What is my number?
  26. 26.I think of a number, multiply it by 7 and then add 28. The answer is 140. What is my number?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  29. 29.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  31. 31.3 × ? + 22 = 31
  32. 32.10 × ? + 14 = 144
  33. 33.I think of a number, multiply it by 7 and then take away 26. The answer is 9. What is my number?
  34. 34.Solve for x: 4(x + 5) = x + 68. What is x?
  35. 35.7 × ? − 20 = 57
  36. 36.I think of a number, multiply it by 7 and then add 5. The answer is 124. What is my number?
  37. 37.I think of a number, multiply it by 7 and then take away 38. The answer is 165. What is my number?
  38. 38.5 × ? + 25 = 55
  39. 39.5 × ? + 19 = 144
  40. 40.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?

Answer key

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

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