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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 171 · 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.I think of a number, multiply it by 7 and then take away 12. The answer is 93. What is my number?
  2. 2.I think of a number, multiply it by 7 and then take away 4. The answer is 192. What is my number?
  3. 3.I think of a number, multiply it by 9 and then add 20. The answer is 92. What is my number?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then take away 12. The answer is 123. What is my number?
  6. 6.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then take away 3. The answer is 111. What is my number?
  9. 9.I think of a number, multiply it by 7 and then add 3. The answer is 213. What is my number?
  10. 10.Solve for x: 5(x + 1) = x + 73. What is x?
  11. 11.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  13. 13.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 8(x + 1) = x + 120. What is x?
  16. 16.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 8 and then add 23. The answer is 127. What is my number?
  18. 18.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  19. 19.10 × ? − 24 = 146
  20. 20.Solve for x: 8(x + 8) = 5x + 73. What is x?
  21. 21.I think of a number, multiply it by 9 and then take away 36. The answer is 54. What is my number?
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  23. 23.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 6(x + 3) = 2x + 34. What is x?
  25. 25.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  26. 26.8 × ? + 11 = 35
  27. 27.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  28. 28.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  30. 30.2 × ? + 29 = 45
  31. 31.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  34. 34.6 × ? − 12 = 72
  35. 35.I think of a number, multiply it by 4 and then add 34. The answer is 114. What is my number?
  36. 36.2 × ? − 24 = 14
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  38. 38.4 × ? − 6 = 90
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 4 and then take away 1. The answer is 119. What is my number?

Answer key

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

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