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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 677 · 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.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 3 and then take away 37. The answer is 50. What is my number?
  3. 3.Solve for x: 7(x + 7) = x + 73. What is x?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 6(x + 1) = x + 56. What is x?
  6. 6.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 1. The answer is 141. What is my number?
  11. 11.I think of a number, multiply it by 5 and then take away 5. The answer is 25. What is my number?
  12. 12.I think of a number, multiply it by 2 and then add 30. The answer is 44. What is my number?
  13. 13.Solve for x: 9(x + 2) = 2x + 109. What is x?
  14. 14.Solve for x: 8(x + 1) = 6x + 42. What is x?
  15. 15.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  17. 17.8 × ? + 15 = 31
  18. 18.10 × ? − 30 = 70
  19. 19.Solve for x: 8(x + 6) = 7x + 59. What is x?
  20. 20.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  23. 23.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  24. 24.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  27. 27.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 9(x + 2) = 6x + 69. What is x?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  30. 30.Solve for x: 3(x + 3) = x + 23. What is x?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  32. 32.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 7(x + 7) = 4x + 103. What is x?
  34. 34.I think of a number, multiply it by 3 and then add 11. The answer is 47. What is my number?
  35. 35.I think of a number, multiply it by 3 and then add 34. The answer is 100. What is my number?
  36. 36.2 × ? − 8 = 24
  37. 37.Solve for x: 3(x + 8) = 2x + 39. What is x?
  38. 38.Solve for x: 4(x + 4) = 3x + 23. What is x?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?

Answer key

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

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