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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 22 · 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 9 and then take away 38. The answer is 223. What is my number?
  2. 2.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  3. 3.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 6(x + 7) = x + 92. What is x?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 2) = x + 66. What is x?
  9. 9.Solve for x: 4(x + 9) = x + 69. What is x?
  10. 10.Solve for x: 6(x + 3) = 2x + 38. What is x?
  11. 11.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 9(x + 6) = 4x + 79. What is x?
  13. 13.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 9(x + 8) = 5x + 140. What is x?
  15. 15.I think of a number, multiply it by 6 and then add 39. The answer is 195. What is my number?
  16. 16.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 3(x + 8) = 2x + 33. What is x?
  18. 18.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 2 and then add 20. The answer is 68. What is my number?
  20. 20.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹238 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 7 and then take away 8. The answer is 111. What is my number?
  24. 24.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then add 13. The answer is 37. What is my number?
  26. 26.7 × ? + 15 = 162
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  28. 28.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 7(x + 9) = 5x + 65. What is x?
  30. 30.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  31. 31.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  33. 33.8 × ? − 3 = 181
  34. 34.Solve for x: 4(x + 9) = 3x + 48. What is x?
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  36. 36.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 7 and then add 13. The answer is 118. What is my number?
  38. 38.I think of a number, multiply it by 9 and then add 26. The answer is 62. What is my number?
  39. 39.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then take away 5. The answer is 120. What is my number?

Answer key

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

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