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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 991 · 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 8 and then take away 25. The answer is 31. What is my number?
  2. 2.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 2 and then add 29. The answer is 47. What is my number?
  4. 4.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  6. 6.12 × ? − 21 = 195
  7. 7.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 3(x + 2) = x + 10. What is x?
  9. 9.6 × ? + 28 = 130
  10. 10.I think of a number, multiply it by 4 and then take away 13. The answer is 55. What is my number?
  11. 11.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  12. 12.3 × ? − 10 = 44
  13. 13.8 × ? + 13 = 69
  14. 14.3 × ? − 11 = 7
  15. 15.Solve for x: 8(x + 4) = 6x + 70. What is x?
  16. 16.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  18. 18.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 8) = 3x + 180. What is x?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  21. 21.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 5 and then take away 7. The answer is 98. What is my number?
  24. 24.Solve for x: 3(x + 2) = 2x + 25. What is x?
  25. 25.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  26. 26.7 × ? − 2 = 19
  27. 27.I think of a number, multiply it by 4 and then take away 25. The answer is 67. What is my number?
  28. 28.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 8 and then add 32. The answer is 64. What is my number?
  30. 30.2 × ? + 5 = 43
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  32. 32.Solve for x: 5(x + 1) = 2x + 32. What is x?
  33. 33.I think of a number, multiply it by 3 and then add 15. The answer is 39. What is my number?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  35. 35.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  37. 37.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 3 and then take away 2. The answer is 40. What is my number?
  39. 39.I think of a number, multiply it by 6 and then add 24. The answer is 126. What is my number?
  40. 40.I think of a number, multiply it by 3 and then add 1. The answer is 88. What is my number?

Answer key

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

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