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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 808 · 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 8 and then take away 10. The answer is 190. What is my number?
  2. 2.8 × ? − 4 = 44
  3. 3.I think of a number, multiply it by 3 and then take away 6. The answer is 21. What is my number?
  4. 4.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  5. 5.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  6. 6.6 × ? + 27 = 51
  7. 7.I think of a number, multiply it by 4 and then add 17. The answer is 129. What is my number?
  8. 8.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then add 7. The answer is 73. What is my number?
  10. 10.Solve for x: 3(x + 6) = 2x + 29. What is x?
  11. 11.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  12. 12.8 × ? + 25 = 137
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 5 and then take away 7. The answer is 58. What is my number?
  15. 15.I think of a number, multiply it by 6 and then take away 1. The answer is 65. What is my number?
  16. 16.Solve for x: 8(x + 1) = 3x + 38. What is x?
  17. 17.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  18. 18.10 × ? − 10 = 180
  19. 19.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 9(x + 6) = x + 174. What is x?
  21. 21.I think of a number, multiply it by 7 and then take away 6. The answer is 8. What is my number?
  22. 22.I think of a number, multiply it by 5 and then take away 22. The answer is 13. What is my number?
  23. 23.7 × ? − 11 = 3
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  25. 25.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then add 34. The answer is 130. What is my number?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  28. 28.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 7 and then add 39. The answer is 172. What is my number?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 3 and then take away 4. The answer is 56. What is my number?
  32. 32.6 × ? − 24 = 6
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  35. 35.Solve for x: 6(x + 8) = 5x + 58. What is x?
  36. 36.I think of a number, multiply it by 3 and then take away 4. The answer is 86. What is my number?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  38. 38.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then take away 9. The answer is 36. What is my number?

Answer key

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

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