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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 871 · 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 6 and then take away 12. The answer is 96. What is my number?
  2. 2.11 × ? + 19 = 239
  3. 3.I think of a number, multiply it by 3 and then take away 23. The answer is 4. What is my number?
  4. 4.Solve for x: 8(x + 8) = 3x + 134. What is x?
  5. 5.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then add 6. The answer is 86. What is my number?
  7. 7.12 × ? + 10 = 250
  8. 8.10 × ? − 13 = 107
  9. 9.Solve for x: 4(x + 5) = 2x + 50. What is x?
  10. 10.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  13. 13.9 × ? + 25 = 178
  14. 14.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  15. 15.5 × ? + 14 = 139
  16. 16.Solve for x: 9(x + 8) = 3x + 132. What is x?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 2 and then add 37. The answer is 63. What is my number?
  19. 19.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 5(x + 2) = 3x + 28. What is x?
  21. 21.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  23. 23.Solve for x: 6(x + 9) = 2x + 118. What is x?
  24. 24.I think of a number, multiply it by 7 and then take away 39. The answer is 10. What is my number?
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  28. 28.8 × ? − 18 = 182
  29. 29.4 × ? + 11 = 47
  30. 30.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 3 and then take away 35. The answer is 28. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 7 and then add 11. The answer is 81. What is my number?
  34. 34.11 × ? + 11 = 176
  35. 35.12 × ? + 1 = 181
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 3 and then add 33. The answer is 117. What is my number?
  38. 38.I think of a number, multiply it by 4 and then take away 35. The answer is 77. What is my number?
  39. 39.I think of a number, multiply it by 4 and then take away 32. The answer is 68. What is my number?
  40. 40.Solve for x: 6(x + 2) = x + 42. What is x?

Answer key

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

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