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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 108 · 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.Solve for x: 4(x + 8) = 3x + 45. What is x?
  2. 2.I think of a number, multiply it by 4 and then take away 37. The answer is 67. What is my number?
  3. 3.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 3 and then add 36. The answer is 102. What is my number?
  6. 6.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  9. 9.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  10. 10.5 × ? + 12 = 77
  11. 11.I think of a number, multiply it by 8 and then take away 15. The answer is 81. What is my number?
  12. 12.Solve for x: 4(x + 9) = x + 75. What is x?
  13. 13.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  15. 15.3 × ? − 10 = 47
  16. 16.I think of a number, multiply it by 2 and then add 35. The answer is 73. What is my number?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 5 and then add 34. The answer is 74. What is my number?
  20. 20.Solve for x: 7(x + 6) = 6x + 61. What is x?
  21. 21.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  22. 22.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 3 and then take away 6. The answer is 75. What is my number?
  25. 25.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 3(x + 9) = 2x + 47. What is x?
  27. 27.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  28. 28.4 × ? + 7 = 55
  29. 29.I think of a number, multiply it by 5 and then take away 19. The answer is 126. What is my number?
  30. 30.7 × ? − 3 = 172
  31. 31.4 × ? + 16 = 28
  32. 32.7 × ? + 17 = 157
  33. 33.I think of a number, multiply it by 3 and then take away 37. The answer is 29. What is my number?
  34. 34.4 × ? − 16 = 60
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  36. 36.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?

Answer key

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

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