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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 703 · 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 4 and then take away 18. The answer is 66. What is my number?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  3. 3.Solve for x: 3(x + 2) = x + 16. What is x?
  4. 4.Solve for x: 7(x + 5) = 5x + 57. What is x?
  5. 5.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  9. 9.Solve for x: 4(x + 8) = 3x + 49. What is x?
  10. 10.I think of a number, multiply it by 2 and then add 26. The answer is 54. What is my number?
  11. 11.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 4) = x + 25. What is x?
  13. 13.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  15. 15.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 8) = 4x + 68. What is x?
  17. 17.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  18. 18.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  20. 20.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 7 and then take away 32. The answer is 31. What is my number?
  22. 22.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  23. 23.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  24. 24.5 × ? − 19 = 1
  25. 25.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  29. 29.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  30. 30.8 × ? − 30 = 146
  31. 31.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  33. 33.9 × ? − 8 = 19
  34. 34.I think of a number, multiply it by 5 and then add 9. The answer is 44. What is my number?
  35. 35.I think of a number, multiply it by 2 and then take away 34. The answer is 8. What is my number?
  36. 36.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  38. 38.Solve for x: 8(x + 8) = 2x + 94. What is x?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  40. 40.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?

Answer key

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

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