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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 756 · 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.

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  1. 1.7 × ? + 18 = 39
  2. 2.Solve for x: 4(x + 8) = 2x + 66. What is x?
  3. 3.Solve for x: 4(x + 4) = x + 67. What is x?
  4. 4.10 × ? + 5 = 115
  5. 5.12 × ? + 11 = 47
  6. 6.Solve for x: 7(x + 1) = 4x + 34. What is x?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  8. 8.Solve for x: 4(x + 1) = x + 13. What is x?
  9. 9.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 17. The answer is 25. What is my number?
  12. 12.Solve for x: 7(x + 8) = 4x + 65. What is x?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  14. 14.3 × ? − 20 = 34
  15. 15.11 × ? − 29 = 48
  16. 16.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  17. 17.9 × ? + 29 = 47
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  19. 19.9 × ? − 12 = 42
  20. 20.Solve for x: 3(x + 6) = x + 32. What is x?
  21. 21.I think of a number, multiply it by 4 and then add 32. The answer is 136. What is my number?
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 6 and then take away 8. The answer is 112. What is my number?
  24. 24.Solve for x: 9(x + 2) = 2x + 137. What is x?
  25. 25.3 × ? + 22 = 91
  26. 26.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 8(x + 5) = 3x + 85. What is x?
  29. 29.7 × ? + 20 = 125
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  31. 31.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 5 and then add 11. The answer is 56. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  34. 34.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 10. The answer is 16. What is my number?
  37. 37.Solve for x: 6(x + 2) = 3x + 24. What is x?
  38. 38.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 9 and then add 29. The answer is 101. What is my number?

Answer key

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

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