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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 93 · 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. 1.5 × ? − 7 = 8
  2. 2.Solve for x: 5(x + 8) = 3x + 56. What is x?
  3. 3.I think of a number, multiply it by 8 and then add 1. The answer is 57. What is my number?
  4. 4.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹295 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 6 and then add 38. The answer is 212. What is my number?
  8. 8.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  9. 9.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  12. 12.Solve for x: 8(x + 2) = 6x + 22. What is x?
  13. 13.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  14. 14.6 × ? + 6 = 108
  15. 15.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  16. 16.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  17. 17.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  20. 20.10 × ? + 10 = 30
  21. 21.Solve for x: 3(x + 4) = x + 26. What is x?
  22. 22.I think of a number, multiply it by 8 and then take away 29. The answer is 3. What is my number?
  23. 23.Solve for x: 9(x + 3) = 4x + 122. What is x?
  24. 24.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  25. 25.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  26. 26.9 × ? − 6 = 39
  27. 27.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  30. 30.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 1) = 2x + 10. What is x?
  32. 32.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 6 and then take away 14. The answer is 76. What is my number?
  34. 34.I think of a number, multiply it by 6 and then add 14. The answer is 32. What is my number?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  36. 36.Solve for x: 6(x + 1) = 5x + 13. What is x?
  37. 37.Solve for x: 5(x + 5) = 2x + 85. What is x?
  38. 38.Solve for x: 3(x + 4) = x + 48. What is x?
  39. 39.I think of a number, multiply it by 8 and then add 36. The answer is 140. What is my number?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?

Answer key

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

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