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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 208 · 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 add 16. The answer is 44. What is my number?
  2. 2.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then add 1. The answer is 16. What is my number?
  4. 4.Solve for x: 5(x + 8) = 2x + 79. What is x?
  5. 5.I think of a number, multiply it by 9 and then take away 34. The answer is 83. What is my number?
  6. 6.6 × ? + 13 = 43
  7. 7.I think of a number, multiply it by 3 and then take away 14. The answer is 4. What is my number?
  8. 8.I think of a number, multiply it by 8 and then take away 17. The answer is 7. What is my number?
  9. 9.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  10. 10.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  11. 11.2 × ? + 3 = 45
  12. 12.9 × ? − 18 = 108
  13. 13.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  14. 14.4 × ? − 20 = 48
  15. 15.I think of a number, multiply it by 8 and then add 10. The answer is 82. What is my number?
  16. 16.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 5 and then take away 2. The answer is 128. What is my number?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 6 and then add 12. The answer is 66. What is my number?
  22. 22.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 2 and then add 8. The answer is 12. What is my number?
  25. 25.Solve for x: 7(x + 2) = 6x + 30. What is x?
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  27. 27.8 × ? + 4 = 92
  28. 28.I think of a number, multiply it by 2 and then add 3. The answer is 17. What is my number?
  29. 29.Solve for x: 4(x + 7) = 2x + 44. What is x?
  30. 30.Solve for x: 8(x + 8) = 3x + 139. What is x?
  31. 31.4 × ? + 6 = 98
  32. 32.I think of a number, multiply it by 4 and then add 20. The answer is 76. What is my number?
  33. 33.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 2) = x + 36. What is x?
  37. 37.I think of a number, multiply it by 2 and then take away 24. The answer is 8. What is my number?
  38. 38.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?

Answer key

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

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