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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 53 · 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 3 and then add 22. The answer is 46. What is my number?
  2. 2.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 6) = x + 52. What is x?
  5. 5.A pen costs ₹15 more than a pencil. 4 pens and 5 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  7. 7.10 × ? − 5 = 165
  8. 8.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 3(x + 6) = x + 34. What is x?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  11. 11.9 × ? + 11 = 236
  12. 12.Solve for x: 7(x + 2) = 3x + 50. What is x?
  13. 13.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 7(x + 1) = x + 127. What is x?
  15. 15.I think of a number, multiply it by 2 and then add 18. The answer is 30. What is my number?
  16. 16.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 4) = x + 48. What is x?
  18. 18.I think of a number, multiply it by 4 and then take away 27. The answer is 93. What is my number?
  19. 19.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 8 and then add 16. The answer is 248. What is my number?
  22. 22.3 × ? − 10 = 5
  23. 23.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  25. 25.Solve for x: 9(x + 2) = 8x + 31. What is x?
  26. 26.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 9) = 7x + 77. What is x?
  28. 28.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 8 and then add 40. The answer is 128. What is my number?
  30. 30.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  32. 32.12 × ? + 25 = 61
  33. 33.I think of a number, multiply it by 3 and then take away 1. The answer is 74. What is my number?
  34. 34.Solve for x: 3(x + 1) = x + 9. What is x?
  35. 35.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  36. 36.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 4 and then take away 14. The answer is 106. What is my number?
  39. 39.I think of a number, multiply it by 5 and then take away 36. The answer is 54. What is my number?
  40. 40.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?

Answer key

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

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