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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 759 · 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.

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  1. 1.5 × ? + 20 = 45
  2. 2.8 × ? + 5 = 77
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  4. 4.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  5. 5.Priya has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  6. 6.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 9 and then take away 19. The answer is 116. What is my number?
  8. 8.Solve for x: 5(x + 7) = x + 103. What is x?
  9. 9.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  11. 11.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  13. 13.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  14. 14.4 × ? + 7 = 35
  15. 15.I think of a number, multiply it by 3 and then take away 39. The answer is 12. What is my number?
  16. 16.10 × ? + 30 = 120
  17. 17.I think of a number, multiply it by 6 and then take away 6. The answer is 54. What is my number?
  18. 18.I think of a number, multiply it by 6 and then take away 13. The answer is 29. What is my number?
  19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 3 and then take away 1. The answer is 8. What is my number?
  21. 21.Solve for x: 9(x + 1) = 3x + 99. What is x?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.9 × ? + 6 = 141
  25. 25.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 6) = 6x + 66. What is x?
  28. 28.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 9(x + 6) = 6x + 99. What is x?
  30. 30.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 4 and then add 8. The answer is 28. What is my number?
  33. 33.Solve for x: 5(x + 3) = x + 35. What is x?
  34. 34.11 × ? + 1 = 111
  35. 35.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹320 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 8 and then add 2. The answer is 58. What is my number?
  40. 40.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?

Answer key

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

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