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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 682 · 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 add 12. The answer is 66. What is my number?
  2. 2.Solve for x: 3(x + 3) = 2x + 23. What is x?
  3. 3.Solve for x: 6(x + 9) = 4x + 78. What is x?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  5. 5.Solve for x: 3(x + 3) = x + 19. What is x?
  6. 6.Solve for x: 7(x + 2) = 4x + 29. What is x?
  7. 7.Solve for x: 9(x + 3) = x + 107. What is x?
  8. 8.Solve for x: 6(x + 9) = 2x + 62. What is x?
  9. 9.Solve for x: 4(x + 3) = 3x + 29. What is x?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  11. 11.10 × ? + 22 = 242
  12. 12.6 × ? − 5 = 115
  13. 13.I think of a number, multiply it by 7 and then take away 8. The answer is 188. What is my number?
  14. 14.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹4 more than a pencil. 4 pens and 5 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  20. 20.12 × ? + 20 = 68
  21. 21.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  22. 22.2 × ? + 5 = 49
  23. 23.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  24. 24.Solve for x: 3(x + 4) = x + 20. What is x?
  25. 25.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then take away 2. The answer is 34. What is my number?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  29. 29.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  32. 32.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  33. 33.11 × ? + 7 = 194
  34. 34.I think of a number, multiply it by 9 and then take away 10. The answer is 107. What is my number?
  35. 35.11 × ? − 29 = 235
  36. 36.Solve for x: 3(x + 5) = x + 37. What is x?
  37. 37.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  38. 38.5 × ? − 19 = 36
  39. 39.Solve for x: 4(x + 2) = x + 14. What is x?
  40. 40.Solve for x: 9(x + 6) = 2x + 131. What is x?

Answer key

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

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