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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 668 · 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 5 and then take away 38. The answer is 62. What is my number?
  2. 2.I think of a number, multiply it by 2 and then take away 12. The answer is 8. What is my number?
  3. 3.I think of a number, multiply it by 2 and then add 6. The answer is 66. What is my number?
  4. 4.I think of a number, multiply it by 8 and then take away 8. The answer is 48. What is my number?
  5. 5.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 9(x + 8) = 7x + 94. What is x?
  7. 7.Solve for x: 5(x + 5) = x + 57. What is x?
  8. 8.7 × ? − 20 = 43
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.Solve for x: 6(x + 7) = 5x + 56. What is x?
  12. 12.4 × ? + 8 = 44
  13. 13.I think of a number, multiply it by 2 and then take away 10. The answer is 14. What is my number?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  15. 15.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  17. 17.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 2) = 2x + 34. What is x?
  19. 19.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  20. 20.4 × ? − 9 = 55
  21. 21.12 × ? + 2 = 62
  22. 22.I think of a number, multiply it by 3 and then add 32. The answer is 110. What is my number?
  23. 23.3 × ? − 2 = 31
  24. 24.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  25. 25.6 × ? + 26 = 92
  26. 26.Solve for x: 3(x + 2) = 2x + 13. What is x?
  27. 27.8 × ? + 19 = 75
  28. 28.8 × ? − 18 = 118
  29. 29.10 × ? − 3 = 67
  30. 30.I think of a number, multiply it by 6 and then take away 6. The answer is 120. What is my number?
  31. 31.I think of a number, multiply it by 7 and then take away 3. The answer is 53. What is my number?
  32. 32.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  33. 33.10 × ? − 14 = 156
  34. 34.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  36. 36.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  37. 37.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹134 in all. How many ₹5 coins are there?
  38. 38.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  39. 39.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  40. 40.Karan has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?

Answer key

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

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