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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 505 · 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 6 and then take away 4. The answer is 116. What is my number?
  2. 2.I think of a number, multiply it by 2 and then take away 13. The answer is 1. What is my number?
  3. 3.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  4. 4.9 × ? + 23 = 59
  5. 5.10 × ? + 11 = 211
  6. 6.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  7. 7.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 8(x + 5) = 6x + 50. What is x?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 2) = x + 8. What is x?
  13. 13.6 × ? − 5 = 127
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 7 and then add 6. The answer is 195. What is my number?
  16. 16.2 × ? + 17 = 27
  17. 17.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 8 and then add 16. The answer is 80. What is my number?
  19. 19.9 × ? − 15 = 75
  20. 20.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  21. 21.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  23. 23.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  24. 24.9 × ? − 3 = 69
  25. 25.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 3 and then take away 8. The answer is 19. What is my number?
  27. 27.Solve for x: 7(x + 4) = 2x + 58. What is x?
  28. 28.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  29. 29.8 × ? + 25 = 217
  30. 30.I think of a number, multiply it by 5 and then add 32. The answer is 162. What is my number?
  31. 31.I think of a number, multiply it by 8 and then add 23. The answer is 255. What is my number?
  32. 32.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  33. 33.5 × ? − 2 = 18
  34. 34.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  35. 35.6 × ? − 3 = 87
  36. 36.Solve for x: 4(x + 2) = 2x + 46. What is x?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  40. 40.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?

Answer key

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

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