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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 181 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  4. 4.Solve for x: 5(x + 4) = 3x + 24. What is x?
  5. 5.I think of a number, multiply it by 9 and then add 5. The answer is 104. What is my number?
  6. 6.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  7. 7.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 2 and then add 40. The answer is 82. What is my number?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 5 and then take away 15. The answer is 110. What is my number?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 7 and then add 3. The answer is 38. What is my number?
  13. 13.Solve for x: 4(x + 2) = 2x + 40. What is x?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  16. 16.Solve for x: 8(x + 4) = 5x + 71. What is x?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 5 and then take away 29. The answer is 21. What is my number?
  19. 19.I think of a number, multiply it by 5 and then add 8. The answer is 118. What is my number?
  20. 20.Solve for x: 4(x + 6) = x + 33. What is x?
  21. 21.4 × ? + 1 = 33
  22. 22.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  23. 23.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 2 and then add 6. The answer is 40. What is my number?
  25. 25.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  26. 26.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  28. 28.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 3 and then take away 1. The answer is 68. What is my number?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  32. 32.Solve for x: 7(x + 1) = 3x + 55. What is x?
  33. 33.I think of a number, multiply it by 8 and then take away 3. The answer is 29. What is my number?
  34. 34.Solve for x: 9(x + 6) = 6x + 66. What is x?
  35. 35.I think of a number, multiply it by 3 and then take away 10. The answer is 32. What is my number?
  36. 36.I think of a number, multiply it by 6 and then add 12. The answer is 180. What is my number?
  37. 37.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 2) = 2x + 19. What is x?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  40. 40.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?

Answer key

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

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