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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 588 · 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.

NameDateTime takenScore ___ / 40
  1. 1.6 × ? + 17 = 107
  2. 2.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  4. 4.Solve for x: 8(x + 1) = 4x + 16. What is x?
  5. 5.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 9 and then take away 6. The answer is 84. What is my number?
  9. 9.2 × ? + 25 = 75
  10. 10.9 × ? + 26 = 179
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  12. 12.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  14. 14.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 3 and then add 13. The answer is 55. What is my number?
  17. 17.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 9 and then take away 3. The answer is 51. What is my number?
  19. 19.Solve for x: 3(x + 2) = 2x + 15. What is x?
  20. 20.9 × ? − 13 = 131
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 8 and then take away 12. The answer is 180. What is my number?
  23. 23.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  24. 24.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 3 and then add 37. The answer is 85. What is my number?
  26. 26.10 × ? + 20 = 50
  27. 27.12 × ? − 6 = 78
  28. 28.I think of a number, multiply it by 4 and then add 19. The answer is 79. What is my number?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 9 and then add 7. The answer is 268. What is my number?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  33. 33.Solve for x: 3(x + 3) = 2x + 19. What is x?
  34. 34.I think of a number, multiply it by 7 and then add 38. The answer is 164. What is my number?
  35. 35.5 × ? + 3 = 88
  36. 36.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  39. 39.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?

Answer key

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

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