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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 495 · 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 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 2 and then add 35. The answer is 43. What is my number?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.8 × ? + 21 = 45
  5. 5.I think of a number, multiply it by 3 and then add 21. The answer is 45. What is my number?
  6. 6.10 × ? − 2 = 58
  7. 7.I think of a number, multiply it by 9 and then take away 4. The answer is 230. What is my number?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  9. 9.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 5(x + 5) = x + 53. What is x?
  11. 11.Solve for x: 3(x + 4) = x + 34. What is x?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  13. 13.10 × ? + 22 = 262
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then take away 19. The answer is 76. What is my number?
  16. 16.10 × ? + 19 = 259
  17. 17.I think of a number, multiply it by 3 and then take away 9. The answer is 36. What is my number?
  18. 18.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  20. 20.3 × ? − 19 = 5
  21. 21.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  22. 22.10 × ? − 26 = 94
  23. 23.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  25. 25.5 × ? − 22 = 13
  26. 26.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 10. The answer is 78. What is my number?
  28. 28.I think of a number, multiply it by 8 and then add 33. The answer is 201. What is my number?
  29. 29.I think of a number, multiply it by 9 and then add 19. The answer is 244. What is my number?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  31. 31.11 × ? + 12 = 265
  32. 32.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 6 and then add 21. The answer is 57. What is my number?
  34. 34.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 7 and then take away 3. The answer is 200. What is my number?
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  37. 37.10 × ? + 13 = 93
  38. 38.I think of a number, multiply it by 5 and then add 10. The answer is 140. What is my number?
  39. 39.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 7 and then take away 2. The answer is 54. What is my number?

Answer key

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

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