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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 374 · 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 3 and then add 23. The answer is 56. What is my number?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  3. 3.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 6(x + 6) = 4x + 64. What is x?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  6. 6.Solve for x: 8(x + 6) = 5x + 81. What is x?
  7. 7.I think of a number, multiply it by 6 and then take away 35. The answer is 25. What is my number?
  8. 8.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then take away 21. The answer is 54. What is my number?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then add 9. The answer is 25. What is my number?
  14. 14.Solve for x: 5(x + 5) = 2x + 58. What is x?
  15. 15.Solve for x: 9(x + 1) = 2x + 37. What is x?
  16. 16.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 4 and then add 26. The answer is 38. What is my number?
  18. 18.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 4 and then add 3. The answer is 107. What is my number?
  20. 20.I think of a number, multiply it by 7 and then take away 17. The answer is 123. What is my number?
  21. 21.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 7(x + 8) = 5x + 96. What is x?
  23. 23.I think of a number, multiply it by 4 and then take away 40. The answer is 52. What is my number?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  26. 26.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  27. 27.7 × ? + 4 = 95
  28. 28.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 9 and then add 3. The answer is 30. What is my number?
  31. 31.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  32. 32.Solve for x: 9(x + 3) = 3x + 45. What is x?
  33. 33.I think of a number, multiply it by 4 and then add 12. The answer is 92. What is my number?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  36. 36.Solve for x: 7(x + 3) = x + 27. What is x?
  37. 37.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  39. 39.6 × ? + 19 = 31
  40. 40.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?

Answer key

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

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