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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 78 · 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 add 10. The answer is 115. What is my number?
  2. 2.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 4 and then take away 12. The answer is 80. What is my number?
  4. 4.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  6. 6.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  8. 8.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 7 and then take away 28. The answer is 77. What is my number?
  10. 10.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 7 and then add 9. The answer is 58. What is my number?
  12. 12.Solve for x: 6(x + 6) = x + 46. What is x?
  13. 13.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 7(x + 8) = 3x + 112. What is x?
  15. 15.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹16 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then take away 5. The answer is 94. What is my number?
  19. 19.11 × ? − 22 = 231
  20. 20.I think of a number, multiply it by 2 and then take away 35. The answer is 17. What is my number?
  21. 21.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  25. 25.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 4 and then add 35. The answer is 91. What is my number?
  27. 27.I think of a number, multiply it by 4 and then add 15. The answer is 55. What is my number?
  28. 28.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  30. 30.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  33. 33.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  34. 34.5 × ? − 15 = 65
  35. 35.Solve for x: 9(x + 3) = x + 123. What is x?
  36. 36.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  37. 37.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  38. 38.9 × ? + 4 = 31
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  40. 40.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹220 in all. What does one pencil cost (in ₹)?

Answer key

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

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