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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 465 · 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.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  4. 4.10 × ? − 18 = 172
  5. 5.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  7. 7.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 4 and then take away 4. The answer is 60. What is my number?
  9. 9.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 3(x + 1) = 2x + 14. What is x?
  13. 13.I think of a number, multiply it by 2 and then add 1. The answer is 27. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then add 6. The answer is 126. What is my number?
  16. 16.2 × ? − 18 = 26
  17. 17.Solve for x: 8(x + 7) = x + 196. What is x?
  18. 18.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  21. 21.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹29 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 7(x + 6) = 6x + 45. What is x?
  25. 25.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 4 and then add 27. The answer is 111. What is my number?
  28. 28.Solve for x: 8(x + 2) = 6x + 18. What is x?
  29. 29.3 × ? − 2 = 73
  30. 30.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  33. 33.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  36. 36.6 × ? − 18 = 24
  37. 37.I think of a number, multiply it by 7 and then add 29. The answer is 127. What is my number?
  38. 38.I think of a number, multiply it by 7 and then take away 32. The answer is 17. What is my number?
  39. 39.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 8 and then take away 20. The answer is 60. What is my number?

Answer key

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

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