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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 160 · 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. 1.9 × ? + 6 = 78
  2. 2.I think of a number, multiply it by 4 and then take away 19. The answer is 89. What is my number?
  3. 3.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 5(x + 1) = 4x + 19. What is x?
  5. 5.Solve for x: 9(x + 1) = 5x + 77. What is x?
  6. 6.4 × ? + 4 = 84
  7. 7.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹313 in all. What does one pencil cost (in ₹)?
  8. 8.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  9. 9.7 × ? + 11 = 53
  10. 10.Solve for x: 5(x + 3) = x + 27. What is x?
  11. 11.11 × ? + 8 = 206
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 5 and then add 6. The answer is 26. What is my number?
  15. 15.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 9) = 2x + 93. What is x?
  17. 17.Solve for x: 5(x + 9) = 2x + 99. What is x?
  18. 18.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  19. 19.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  20. 20.12 × ? − 14 = 214
  21. 21.10 × ? + 19 = 119
  22. 22.3 × ? − 4 = 68
  23. 23.Solve for x: 8(x + 1) = x + 57. What is x?
  24. 24.Solve for x: 8(x + 5) = 5x + 88. What is x?
  25. 25.8 × ? − 9 = 167
  26. 26.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  27. 27.2 × ? + 19 = 59
  28. 28.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 4 and then take away 32. The answer is 64. What is my number?
  31. 31.I think of a number, multiply it by 9 and then add 7. The answer is 196. What is my number?
  32. 32.I think of a number, multiply it by 4 and then take away 21. The answer is 51. What is my number?
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then add 38. The answer is 62. What is my number?
  35. 35.I think of a number, multiply it by 5 and then take away 18. The answer is 107. What is my number?
  36. 36.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  38. 38.6 × ? − 7 = 131
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?

Answer key

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

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