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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 609 · 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. 1.2 × ? − 14 = 8
  2. 2.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  4. 4.2 × ? + 14 = 54
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  6. 6.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  7. 7.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then add 24. The answer is 42. What is my number?
  9. 9.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 2 and then add 5. The answer is 59. What is my number?
  11. 11.I think of a number, multiply it by 2 and then add 18. The answer is 68. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  13. 13.6 × ? + 22 = 76
  14. 14.I think of a number, multiply it by 3 and then take away 19. The answer is 23. What is my number?
  15. 15.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹134 in all. How many ₹5 coins are there?
  16. 16.4 × ? − 3 = 85
  17. 17.Solve for x: 7(x + 3) = 6x + 27. What is x?
  18. 18.Solve for x: 6(x + 5) = x + 100. What is x?
  19. 19.I think of a number, multiply it by 6 and then add 18. The answer is 42. What is my number?
  20. 20.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 7 and then add 10. The answer is 185. What is my number?
  22. 22.Solve for x: 3(x + 1) = 2x + 4. What is x?
  23. 23.Solve for x: 5(x + 4) = 3x + 24. What is x?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  25. 25.Solve for x: 5(x + 8) = 2x + 100. What is x?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  28. 28.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 4(x + 6) = 2x + 60. What is x?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  31. 31.Solve for x: 3(x + 8) = x + 52. What is x?
  32. 32.I think of a number, multiply it by 4 and then add 22. The answer is 98. What is my number?
  33. 33.3 × ? + 17 = 38
  34. 34.3 × ? − 3 = 54
  35. 35.I think of a number, multiply it by 6 and then add 3. The answer is 171. What is my number?
  36. 36.I think of a number, multiply it by 3 and then add 5. The answer is 56. What is my number?
  37. 37.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then add 10. The answer is 202. What is my number?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  40. 40.6 × ? − 18 = 126

Answer key

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

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