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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 225 · 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.I think of a number, multiply it by 3 and then add 21. The answer is 42. What is my number?
  2. 2.Solve for x: 4(x + 1) = x + 52. What is x?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  5. 5.6 × ? − 24 = 90
  6. 6.I think of a number, multiply it by 8 and then take away 25. The answer is 143. What is my number?
  7. 7.Solve for x: 7(x + 8) = 3x + 136. What is x?
  8. 8.I think of a number, multiply it by 9 and then add 1. The answer is 64. What is my number?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then add 23. The answer is 35. What is my number?
  11. 11.2 × ? + 18 = 22
  12. 12.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  14. 14.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 9 and then add 32. The answer is 167. What is my number?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  20. 20.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  21. 21.11 × ? − 6 = 38
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 2 and then take away 2. The answer is 24. What is my number?
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  25. 25.2 × ? + 20 = 52
  26. 26.I think of a number, multiply it by 3 and then add 21. The answer is 87. What is my number?
  27. 27.Solve for x: 8(x + 6) = 6x + 64. What is x?
  28. 28.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 7(x + 7) = 6x + 51. What is x?
  30. 30.11 × ? + 26 = 48
  31. 31.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  32. 32.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  34. 34.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 6 and then take away 22. The answer is 14. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? − 5 = 95
  39. 39.9 × ? + 30 = 138
  40. 40.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?

Answer key

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

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