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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 898 · 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.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 6 and then add 37. The answer is 145. What is my number?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  5. 5.11 × ? + 2 = 156
  6. 6.I think of a number, multiply it by 3 and then add 24. The answer is 60. What is my number?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  8. 8.11 × ? − 9 = 266
  9. 9.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  10. 10.8 × ? + 7 = 119
  11. 11.I think of a number, multiply it by 3 and then add 10. The answer is 79. What is my number?
  12. 12.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 8 and then take away 7. The answer is 25. What is my number?
  14. 14.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 4(x + 2) = x + 35. What is x?
  18. 18.I think of a number, multiply it by 3 and then take away 5. The answer is 70. What is my number?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 4 and then add 28. The answer is 68. What is my number?
  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.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  24. 24.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  25. 25.4 × ? − 4 = 80
  26. 26.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then add 37. The answer is 88. What is my number?
  28. 28.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  29. 29.7 × ? + 20 = 111
  30. 30.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  32. 32.3 × ? + 8 = 20
  33. 33.I think of a number, multiply it by 4 and then add 30. The answer is 82. What is my number?
  34. 34.3 × ? − 29 = 19
  35. 35.I think of a number, multiply it by 3 and then take away 13. The answer is 26. What is my number?
  36. 36.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹310 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then add 7. The answer is 42. What is my number?
  38. 38.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?

Answer key

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

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