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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 714 · 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 5 and then add 14. The answer is 99. What is my number?
  2. 2.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  4. 4.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  5. 5.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  9. 9.Solve for x: 6(x + 1) = 2x + 58. What is x?
  10. 10.Solve for x: 9(x + 3) = 7x + 29. What is x?
  11. 11.11 × ? + 10 = 142
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  13. 13.Solve for x: 6(x + 7) = 2x + 114. What is x?
  14. 14.I think of a number, multiply it by 3 and then add 31. The answer is 85. What is my number?
  15. 15.I think of a number, multiply it by 3 and then take away 12. The answer is 18. What is my number?
  16. 16.4 × ? − 14 = 26
  17. 17.I think of a number, multiply it by 3 and then add 18. The answer is 66. What is my number?
  18. 18.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  22. 22.5 × ? + 8 = 123
  23. 23.5 × ? − 5 = 95
  24. 24.10 × ? − 6 = 144
  25. 25.I think of a number, multiply it by 5 and then add 38. The answer is 118. What is my number?
  26. 26.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  27. 27.2 × ? + 9 = 15
  28. 28.5 × ? + 30 = 45
  29. 29.I think of a number, multiply it by 9 and then take away 19. The answer is 71. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 12. The answer is 27. What is my number?
  31. 31.I think of a number, multiply it by 8 and then take away 7. The answer is 193. What is my number?
  32. 32.I think of a number, multiply it by 9 and then add 25. The answer is 160. What is my number?
  33. 33.11 × ? − 16 = 61
  34. 34.12 × ? − 2 = 70
  35. 35.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then take away 32. The answer is 3. What is my number?
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 9 and then add 36. The answer is 108. What is my number?
  40. 40.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?

Answer key

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

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