← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 635 · 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 3 and then add 14. The answer is 68. What is my number?
  2. 2.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 5 and then add 40. The answer is 50. What is my number?
  4. 4.Zoya has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  6. 6.9 × ? − 27 = 117
  7. 7.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  8. 8.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 5) = 2x + 16. What is x?
  13. 13.Solve for x: 4(x + 4) = 2x + 32. What is x?
  14. 14.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 2 and then add 36. The answer is 60. What is my number?
  17. 17.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  19. 19.6 × ? + 12 = 126
  20. 20.I think of a number, multiply it by 9 and then add 10. The answer is 181. What is my number?
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then add 25. The answer is 63. What is my number?
  23. 23.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 3 and then take away 13. The answer is 71. What is my number?
  25. 25.I think of a number, multiply it by 4 and then add 13. The answer is 105. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 31. The answer is 65. What is my number?
  27. 27.Solve for x: 8(x + 9) = 2x + 108. What is x?
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  29. 29.11 × ? − 12 = 109
  30. 30.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 7 and then add 25. The answer is 137. What is my number?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then add 36. The answer is 164. What is my number?
  35. 35.Solve for x: 9(x + 1) = x + 161. What is x?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  38. 38.Solve for x: 9(x + 2) = 7x + 34. What is x?
  39. 39.7 × ? + 4 = 102
  40. 40.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹109 in all. What does one pencil cost (in ₹)?

Answer key

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

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