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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 469 · 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. 1.9 × ? − 22 = 23
  2. 2.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 4(x + 3) = x + 45. What is x?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 8(x + 8) = 4x + 72. What is x?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  7. 7.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 5(x + 4) = 2x + 29. What is x?
  9. 9.Solve for x: 4(x + 1) = 3x + 16. What is x?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  11. 11.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 8 and then add 9. The answer is 33. What is my number?
  13. 13.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  15. 15.10 × ? − 20 = 80
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  17. 17.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 5(x + 8) = x + 104. What is x?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  20. 20.Solve for x: 7(x + 5) = 2x + 85. What is x?
  21. 21.I think of a number, multiply it by 2 and then take away 12. The answer is 2. What is my number?
  22. 22.I think of a number, multiply it by 5 and then take away 5. The answer is 115. What is my number?
  23. 23.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  24. 24.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 7 and then take away 11. The answer is 199. What is my number?
  26. 26.12 × ? − 11 = 157
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  28. 28.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 5(x + 8) = 4x + 57. What is x?
  30. 30.Solve for x: 9(x + 9) = 8x + 82. What is x?
  31. 31.Solve for x: 5(x + 5) = x + 81. What is x?
  32. 32.Solve for x: 4(x + 2) = x + 35. What is x?
  33. 33.2 × ? − 24 = 14
  34. 34.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹251 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  39. 39.6 × ? + 9 = 57
  40. 40.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?

Answer key

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

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