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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 44 · 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.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? + 12 = 82
  3. 3.5 × ? − 23 = 2
  4. 4.Solve for x: 9(x + 4) = x + 92. What is x?
  5. 5.I think of a number, multiply it by 5 and then take away 2. The answer is 128. What is my number?
  6. 6.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  9. 9.2 × ? + 8 = 50
  10. 10.I think of a number, multiply it by 8 and then add 1. The answer is 169. What is my number?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  14. 14.2 × ? + 5 = 37
  15. 15.8 × ? − 18 = 62
  16. 16.I think of a number, multiply it by 3 and then add 22. The answer is 64. What is my number?
  17. 17.4 × ? + 24 = 48
  18. 18.I think of a number, multiply it by 6 and then add 37. The answer is 91. What is my number?
  19. 19.I think of a number, multiply it by 7 and then take away 7. The answer is 21. What is my number?
  20. 20.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 8 and then take away 13. The answer is 195. What is my number?
  22. 22.Solve for x: 8(x + 1) = 5x + 35. What is x?
  23. 23.3 × ? − 16 = 47
  24. 24.Solve for x: 3(x + 8) = x + 58. What is x?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  26. 26.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  28. 28.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  32. 32.Solve for x: 8(x + 2) = 4x + 52. What is x?
  33. 33.I think of a number, multiply it by 8 and then add 9. The answer is 233. What is my number?
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 2) = x + 66. What is x?
  36. 36.I think of a number, multiply it by 8 and then add 17. The answer is 225. What is my number?
  37. 37.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  38. 38.11 × ? − 17 = 38
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  40. 40.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹77 in all. What does one pencil cost (in ₹)?

Answer key

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

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