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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 2 · 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 2 and then take away 2. The answer is 14. What is my number?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  3. 3.Solve for x: 3(x + 6) = 2x + 26. What is x?
  4. 4.6 × ? + 12 = 96
  5. 5.Solve for x: 3(x + 7) = 2x + 25. What is x?
  6. 6.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  7. 7.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 9 and then add 8. The answer is 215. What is my number?
  9. 9.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 4(x + 5) = 2x + 22. What is x?
  11. 11.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  13. 13.Solve for x: 3(x + 2) = 2x + 21. What is x?
  14. 14.6 × ? − 8 = 46
  15. 15.11 × ? − 26 = 117
  16. 16.7 × ? + 27 = 202
  17. 17.6 × ? − 23 = 73
  18. 18.I think of a number, multiply it by 8 and then add 27. The answer is 179. What is my number?
  19. 19.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? + 22 = 91
  21. 21.3 × ? − 12 = 51
  22. 22.10 × ? − 7 = 103
  23. 23.Solve for x: 5(x + 4) = 2x + 23. What is x?
  24. 24.9 × ? − 27 = 45
  25. 25.I think of a number, multiply it by 9 and then add 5. The answer is 77. What is my number?
  26. 26.9 × ? + 2 = 218
  27. 27.6 × ? − 1 = 23
  28. 28.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  29. 29.Solve for x: 3(x + 6) = x + 32. What is x?
  30. 30.Solve for x: 9(x + 3) = 4x + 52. What is x?
  31. 31.I think of a number, multiply it by 8 and then add 38. The answer is 54. What is my number?
  32. 32.I think of a number, multiply it by 9 and then take away 17. The answer is 73. What is my number?
  33. 33.Solve for x: 6(x + 7) = 3x + 90. What is x?
  34. 34.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  35. 35.10 × ? − 24 = 176
  36. 36.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  37. 37.2 × ? + 12 = 18
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  39. 39.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  40. 40.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?

Answer key

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

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