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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 460 · 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 3 and then take away 31. The answer is 20. What is my number?
  2. 2.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 7(x + 9) = 4x + 87. What is x?
  4. 4.4 × ? + 6 = 14
  5. 5.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 6(x + 7) = 4x + 60. What is x?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 9 and then take away 39. The answer is 123. What is my number?
  10. 10.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  11. 11.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  12. 12.9 × ? − 13 = 158
  13. 13.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 1) = x + 25. What is x?
  16. 16.Solve for x: 6(x + 5) = 2x + 98. What is x?
  17. 17.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 9(x + 6) = x + 86. What is x?
  19. 19.11 × ? − 3 = 140
  20. 20.Solve for x: 5(x + 5) = 3x + 43. What is x?
  21. 21.Solve for x: 5(x + 3) = x + 79. What is x?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  24. 24.Solve for x: 6(x + 2) = x + 102. What is x?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  26. 26.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 7(x + 3) = 3x + 25. What is x?
  28. 28.6 × ? + 11 = 71
  29. 29.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 7 and then add 35. The answer is 140. What is my number?
  32. 32.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  34. 34.11 × ? − 10 = 265
  35. 35.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  36. 36.2 × ? − 18 = 32
  37. 37.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  38. 38.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  39. 39.Farhan has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹206 in all. What does one pencil cost (in ₹)?

Answer key

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

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