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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 333 · 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 4 and then add 10. The answer is 70. What is my number?
  2. 2.I think of a number, multiply it by 4 and then add 14. The answer is 46. What is my number?
  3. 3.Solve for x: 5(x + 8) = x + 88. What is x?
  4. 4.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 7(x + 9) = 2x + 88. What is x?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.8 × ? − 27 = 77
  8. 8.I think of a number, multiply it by 5 and then add 16. The answer is 26. What is my number?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  10. 10.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 3(x + 1) = x + 37. What is x?
  12. 12.Solve for x: 5(x + 2) = 2x + 25. What is x?
  13. 13.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 3(x + 5) = 2x + 17. What is x?
  15. 15.5 × ? + 27 = 62
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  17. 17.2 × ? − 21 = 9
  18. 18.Solve for x: 8(x + 6) = 2x + 102. What is x?
  19. 19.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 7 and then add 36. The answer is 85. What is my number?
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  22. 22.2 × ? + 12 = 16
  23. 23.I think of a number, multiply it by 9 and then take away 37. The answer is 89. What is my number?
  24. 24.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 8) = x + 158. What is x?
  26. 26.2 × ? − 16 = 16
  27. 27.4 × ? + 6 = 50
  28. 28.Solve for x: 4(x + 6) = 2x + 54. What is x?
  29. 29.10 × ? + 12 = 122
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 9 and then take away 6. The answer is 57. What is my number?
  32. 32.I think of a number, multiply it by 2 and then add 13. The answer is 39. What is my number?
  33. 33.11 × ? + 5 = 82
  34. 34.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  36. 36.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 9(x + 2) = x + 34. What is x?
  39. 39.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?

Answer key

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

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