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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 852 · 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 5 and then take away 7. The answer is 3. What is my number?
  2. 2.A pen costs ₹5 more than a pencil. 6 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  3. 3.11 × ? + 6 = 270
  4. 4.Solve for x: 6(x + 2) = x + 112. What is x?
  5. 5.I think of a number, multiply it by 7 and then add 6. The answer is 153. What is my number?
  6. 6.3 × ? + 12 = 18
  7. 7.I think of a number, multiply it by 2 and then take away 34. The answer is 24. What is my number?
  8. 8.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 5 and then add 3. The answer is 123. What is my number?
  11. 11.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  12. 12.5 × ? − 4 = 86
  13. 13.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  14. 14.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 2 and then add 22. The answer is 78. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 12. The answer is 44. What is my number?
  17. 17.5 × ? − 15 = 35
  18. 18.Solve for x: 5(x + 6) = x + 70. What is x?
  19. 19.4 × ? + 29 = 57
  20. 20.10 × ? − 21 = 179
  21. 21.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 7 and then take away 1. The answer is 69. What is my number?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 8 and then take away 25. The answer is 143. What is my number?
  26. 26.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  27. 27.3 × ? + 18 = 84
  28. 28.I think of a number, multiply it by 9 and then add 33. The answer is 87. What is my number?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  31. 31.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 8 and then take away 26. The answer is 110. What is my number?
  33. 33.8 × ? − 11 = 29
  34. 34.I think of a number, multiply it by 6 and then add 37. The answer is 145. What is my number?
  35. 35.12 × ? + 6 = 282
  36. 36.Solve for x: 3(x + 8) = x + 52. What is x?
  37. 37.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  40. 40.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?

Answer key

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

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