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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 625 · 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 6 and then add 39. The answer is 51. What is my number?
  2. 2.I think of a number, multiply it by 6 and then add 5. The answer is 119. What is my number?
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  4. 4.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  5. 5.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  6. 6.12 × ? − 3 = 297
  7. 7.11 × ? + 8 = 173
  8. 8.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  9. 9.12 × ? − 27 = 93
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 9 and then add 23. The answer is 122. What is my number?
  12. 12.I think of a number, multiply it by 6 and then take away 9. The answer is 99. What is my number?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  14. 14.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 9 and then take away 12. The answer is 168. What is my number?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  17. 17.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 8 and then add 35. The answer is 171. What is my number?
  21. 21.I think of a number, multiply it by 3 and then take away 2. The answer is 19. What is my number?
  22. 22.3 × ? + 30 = 102
  23. 23.Solve for x: 9(x + 7) = 5x + 95. What is x?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  25. 25.4 × ? + 16 = 32
  26. 26.I think of a number, multiply it by 8 and then take away 17. The answer is 71. What is my number?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  29. 29.4 × ? + 10 = 70
  30. 30.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  31. 31.4 × ? + 8 = 48
  32. 32.Solve for x: 8(x + 1) = x + 85. What is x?
  33. 33.9 × ? + 5 = 221
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  35. 35.10 × ? − 16 = 144
  36. 36.4 × ? + 4 = 80
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  39. 39.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?

Answer key

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

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