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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 110 · 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 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  2. 2.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  3. 3.9 × ? + 26 = 242
  4. 4.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 6 and then add 33. The answer is 195. What is my number?
  6. 6.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 3 and then add 6. The answer is 51. What is my number?
  8. 8.I think of a number, multiply it by 9 and then add 27. The answer is 216. What is my number?
  9. 9.7 × ? + 19 = 173
  10. 10.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 6(x + 9) = 4x + 58. What is x?
  12. 12.I think of a number, multiply it by 4 and then take away 2. The answer is 98. What is my number?
  13. 13.3 × ? + 17 = 26
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then add 6. The answer is 101. What is my number?
  16. 16.I think of a number, multiply it by 8 and then add 4. The answer is 148. What is my number?
  17. 17.Solve for x: 6(x + 5) = x + 75. What is x?
  18. 18.Solve for x: 5(x + 4) = x + 60. What is x?
  19. 19.2 × ? − 5 = 11
  20. 20.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  21. 21.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  22. 22.2 × ? + 4 = 38
  23. 23.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  25. 25.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  26. 26.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 9) = 3x + 51. What is x?
  28. 28.I think of a number, multiply it by 7 and then add 19. The answer is 40. What is my number?
  29. 29.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  32. 32.Solve for x: 4(x + 7) = 2x + 34. What is x?
  33. 33.I think of a number, multiply it by 6 and then add 16. The answer is 124. What is my number?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  36. 36.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 6 and then add 32. The answer is 158. What is my number?
  38. 38.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  39. 39.8 × ? − 17 = 31
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?

Answer key

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

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