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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 641 · 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.

NameDateTime takenScore ___ / 40
  1. 1.I think of a number, multiply it by 6 and then add 25. The answer is 181. What is my number?
  2. 2.I think of a number, multiply it by 7 and then take away 38. The answer is 39. What is my number?
  3. 3.10 × ? − 10 = 140
  4. 4.I think of a number, multiply it by 9 and then add 23. The answer is 113. What is my number?
  5. 5.I think of a number, multiply it by 3 and then take away 5. The answer is 58. What is my number?
  6. 6.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then add 14. The answer is 50. What is my number?
  11. 11.10 × ? − 11 = 239
  12. 12.4 × ? + 4 = 68
  13. 13.7 × ? + 17 = 129
  14. 14.I think of a number, multiply it by 4 and then add 38. The answer is 146. What is my number?
  15. 15.Solve for x: 7(x + 4) = 3x + 96. What is x?
  16. 16.2 × ? + 10 = 20
  17. 17.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  19. 19.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  21. 21.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 8 and then take away 24. The answer is 152. What is my number?
  23. 23.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  24. 24.2 × ? + 16 = 46
  25. 25.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  27. 27.Vivaan has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 4(x + 3) = x + 51. What is x?
  29. 29.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  30. 30.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 4 and then take away 3. The answer is 45. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  34. 34.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 7 and then add 27. The answer is 48. What is my number?
  37. 37.2 × ? − 16 = 8
  38. 38.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 4(x + 3) = 3x + 25. What is x?
  40. 40.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?

Answer key

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

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