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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 267 · 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 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  3. 3.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 9 and then take away 31. The answer is 5. What is my number?
  5. 5.9 × ? − 5 = 76
  6. 6.I think of a number, multiply it by 9 and then take away 18. The answer is 18. What is my number?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 2 and then take away 1. The answer is 13. What is my number?
  10. 10.Solve for x: 3(x + 2) = x + 42. What is x?
  11. 11.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 6) = 6x + 84. What is x?
  13. 13.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  14. 14.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  15. 15.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 3(x + 1) = x + 25. What is x?
  17. 17.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  18. 18.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 6 and then add 31. The answer is 139. What is my number?
  20. 20.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 3(x + 7) = x + 49. What is x?
  23. 23.2 × ? − 18 = 24
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  26. 26.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 6 and then add 15. The answer is 195. What is my number?
  28. 28.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 5 and then add 21. The answer is 36. What is my number?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 9 and then add 35. The answer is 107. What is my number?
  34. 34.3 × ? − 22 = 5
  35. 35.8 × ? − 7 = 177
  36. 36.I think of a number, multiply it by 9 and then add 13. The answer is 220. What is my number?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  38. 38.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  39. 39.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  40. 40.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?

Answer key

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

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