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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 190 · 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 2 and then add 18. The answer is 54. What is my number?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  4. 4.Vivaan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 3 and then add 14. The answer is 38. What is my number?
  7. 7.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then take away 25. The answer is 50. What is my number?
  9. 9.Solve for x: 8(x + 1) = 5x + 62. What is x?
  10. 10.I think of a number, multiply it by 4 and then take away 17. The answer is 71. What is my number?
  11. 11.I think of a number, multiply it by 5 and then add 31. The answer is 111. What is my number?
  12. 12.Solve for x: 6(x + 6) = 5x + 51. What is x?
  13. 13.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  15. 15.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 4 and then add 28. The answer is 56. What is my number?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  20. 20.9 × ? − 23 = 67
  21. 21.Solve for x: 3(x + 3) = 2x + 17. What is x?
  22. 22.I think of a number, multiply it by 5 and then add 14. The answer is 124. What is my number?
  23. 23.Solve for x: 4(x + 8) = x + 44. What is x?
  24. 24.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  25. 25.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  26. 26.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  27. 27.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  28. 28.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 6(x + 1) = x + 36. What is x?
  30. 30.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  32. 32.Solve for x: 3(x + 3) = 2x + 13. What is x?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  34. 34.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  35. 35.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  36. 36.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  37. 37.4 × ? + 28 = 44
  38. 38.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  39. 39.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?

Answer key

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

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