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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 666 · 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.I think of a number, multiply it by 6 and then add 8. The answer is 68. What is my number?
  2. 2.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  4. 4.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 5 and then take away 31. The answer is 24. What is my number?
  6. 6.2 × ? − 22 = 8
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  8. 8.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 7 and then add 36. The answer is 218. What is my number?
  10. 10.I think of a number, multiply it by 3 and then add 27. The answer is 78. What is my number?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  12. 12.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 5(x + 9) = 2x + 51. What is x?
  16. 16.I think of a number, multiply it by 8 and then add 23. The answer is 39. What is my number?
  17. 17.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  18. 18.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  21. 21.11 × ? + 21 = 153
  22. 22.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  25. 25.3 × ? − 6 = 18
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  27. 27.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  30. 30.12 × ? − 3 = 141
  31. 31.4 × ? + 6 = 98
  32. 32.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 5 and then take away 17. The answer is 33. What is my number?
  34. 34.I think of a number, multiply it by 3 and then add 10. The answer is 31. What is my number?
  35. 35.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  36. 36.5 × ? + 3 = 108
  37. 37.I think of a number, multiply it by 2 and then add 19. The answer is 53. What is my number?
  38. 38.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?

Answer key

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

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