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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 577 · 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: 8(x + 4) = x + 53. What is x?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  3. 3.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then add 25. The answer is 113. What is my number?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 3 and then take away 11. The answer is 1. What is my number?
  11. 11.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 6 and then take away 26. The answer is 10. What is my number?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 8 and then take away 16. The answer is 16. What is my number?
  16. 16.I think of a number, multiply it by 8 and then take away 32. The answer is 128. What is my number?
  17. 17.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 7(x + 4) = x + 70. What is x?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  21. 21.Solve for x: 8(x + 8) = 4x + 96. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  23. 23.9 × ? + 4 = 121
  24. 24.Isha has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 4(x + 2) = 2x + 42. What is x?
  26. 26.11 × ? − 6 = 159
  27. 27.I think of a number, multiply it by 4 and then take away 14. The answer is 10. What is my number?
  28. 28.I think of a number, multiply it by 2 and then add 39. The answer is 79. What is my number?
  29. 29.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  30. 30.9 × ? − 22 = 59
  31. 31.Solve for x: 7(x + 2) = 6x + 32. What is x?
  32. 32.I think of a number, multiply it by 6 and then add 7. The answer is 31. What is my number?
  33. 33.Solve for x: 9(x + 7) = 4x + 78. What is x?
  34. 34.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  35. 35.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  37. 37.Solve for x: 7(x + 2) = 6x + 28. What is x?
  38. 38.Solve for x: 7(x + 1) = 3x + 47. What is x?
  39. 39.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 3(x + 4) = 2x + 26. What is x?

Answer key

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

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