← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 533 · 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 5 and then add 31. The answer is 56. What is my number?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  3. 3.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  4. 4.3 × ? − 7 = 65
  5. 5.I think of a number, multiply it by 6 and then take away 39. The answer is 33. What is my number?
  6. 6.I think of a number, multiply it by 3 and then take away 3. The answer is 57. What is my number?
  7. 7.7 × ? + 11 = 74
  8. 8.Solve for x: 5(x + 2) = 4x + 11. What is x?
  9. 9.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 6 and then take away 18. The answer is 36. What is my number?
  11. 11.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  12. 12.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  14. 14.10 × ? − 4 = 86
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 9(x + 1) = 2x + 100. What is x?
  18. 18.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  19. 19.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  20. 20.9 × ? + 5 = 23
  21. 21.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 8 and then take away 17. The answer is 71. What is my number?
  23. 23.Solve for x: 3(x + 3) = x + 17. What is x?
  24. 24.Solve for x: 5(x + 8) = 4x + 43. What is x?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  26. 26.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then take away 22. The answer is 86. What is my number?
  28. 28.Solve for x: 4(x + 2) = 2x + 28. What is x?
  29. 29.I think of a number, multiply it by 4 and then add 18. The answer is 110. What is my number?
  30. 30.Solve for x: 4(x + 2) = 2x + 12. What is x?
  31. 31.I think of a number, multiply it by 8 and then add 29. The answer is 157. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 8 and then add 3. The answer is 67. What is my number?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 4 and then add 34. The answer is 110. What is my number?
  36. 36.Solve for x: 3(x + 7) = 2x + 30. What is x?
  37. 37.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  39. 39.2 × ? − 21 = 11
  40. 40.I think of a number, multiply it by 2 and then add 25. The answer is 69. What is my number?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude