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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 535 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  2. 2.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 3(x + 8) = 2x + 43. What is x?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  6. 6.Solve for x: 5(x + 6) = 4x + 48. What is x?
  7. 7.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 4 and then add 8. The answer is 96. What is my number?
  9. 9.I think of a number, multiply it by 7 and then take away 6. The answer is 15. What is my number?
  10. 10.12 × ? − 30 = 270
  11. 11.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  13. 13.Solve for x: 8(x + 1) = x + 127. What is x?
  14. 14.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  15. 15.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  16. 16.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  17. 17.Ananya has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 6 and then add 17. The answer is 185. What is my number?
  20. 20.Solve for x: 4(x + 1) = 3x + 6. What is x?
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  22. 22.8 × ? − 29 = 3
  23. 23.The length of a rectangle is 14 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  24. 24.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  25. 25.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  29. 29.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  30. 30.2 × ? − 19 = 31
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  32. 32.Solve for x: 8(x + 7) = 6x + 90. What is x?
  33. 33.5 × ? − 17 = 68
  34. 34.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹37 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 36 m. What is its breadth (in m)?
  36. 36.6 × ? − 29 = 55
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 5 and then add 23. The answer is 73. What is my number?
  39. 39.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?

Answer key

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

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