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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 362 · 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.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  2. 2.Solve for x: 7(x + 1) = x + 103. What is x?
  3. 3.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 9 and then take away 9. The answer is 9. What is my number?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  7. 7.12 × ? − 13 = 131
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  9. 9.8 × ? + 26 = 114
  10. 10.I think of a number, multiply it by 7 and then take away 24. The answer is 39. What is my number?
  11. 11.I think of a number, multiply it by 8 and then add 4. The answer is 76. What is my number?
  12. 12.4 × ? + 7 = 47
  13. 13.10 × ? + 29 = 49
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  16. 16.2 × ? + 26 = 32
  17. 17.Solve for x: 7(x + 5) = 2x + 95. What is x?
  18. 18.I think of a number, multiply it by 3 and then take away 19. The answer is 56. What is my number?
  19. 19.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  20. 20.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  21. 21.8 × ? − 9 = 167
  22. 22.I think of a number, multiply it by 3 and then take away 29. The answer is 58. What is my number?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then add 34. The answer is 78. What is my number?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  26. 26.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  27. 27.4 × ? − 20 = 32
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 3 and then take away 34. The answer is 5. What is my number?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  32. 32.Solve for x: 9(x + 4) = 2x + 85. What is x?
  33. 33.I think of a number, multiply it by 2 and then take away 16. The answer is 8. What is my number?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  35. 35.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 3 and then take away 5. The answer is 13. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  38. 38.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?

Answer key

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

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