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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 9 · 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 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 8 and then add 39. The answer is 215. What is my number?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 7 and then take away 30. The answer is 110. What is my number?
  5. 5.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  6. 6.3 × ? + 21 = 30
  7. 7.I think of a number, multiply it by 3 and then take away 13. The answer is 8. What is my number?
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then add 31. The answer is 199. What is my number?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  12. 12.6 × ? − 17 = 85
  13. 13.I think of a number, multiply it by 3 and then add 32. The answer is 50. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 12. The answer is 66. What is my number?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  16. 16.2 × ? + 4 = 24
  17. 17.I think of a number, multiply it by 7 and then take away 32. The answer is 10. What is my number?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  20. 20.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 5 and then add 4. The answer is 29. What is my number?
  23. 23.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  25. 25.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 5(x + 1) = 4x + 8. What is x?
  27. 27.I think of a number, multiply it by 4 and then take away 22. The answer is 42. What is my number?
  28. 28.Solve for x: 8(x + 6) = 7x + 57. What is x?
  29. 29.Solve for x: 4(x + 1) = 2x + 28. What is x?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  31. 31.5 × ? − 10 = 10
  32. 32.11 × ? − 26 = 73
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  35. 35.Solve for x: 6(x + 3) = 5x + 21. What is x?
  36. 36.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  37. 37.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 8) = 2x + 148. What is x?
  39. 39.2 × ? + 16 = 40
  40. 40.5 × ? + 15 = 130

Answer key

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

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