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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 228 · 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.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  2. 2.Solve for x: 9(x + 9) = 8x + 94. What is x?
  3. 3.Solve for x: 3(x + 6) = 2x + 37. What is x?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 3 and then add 40. The answer is 124. What is my number?
  6. 6.I think of a number, multiply it by 3 and then take away 27. The answer is 57. What is my number?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.Solve for x: 3(x + 8) = x + 34. What is x?
  9. 9.8 × ? − 5 = 75
  10. 10.7 × ? − 2 = 166
  11. 11.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  12. 12.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 6(x + 5) = x + 105. What is x?
  15. 15.I think of a number, multiply it by 2 and then take away 17. The answer is 3. What is my number?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 2 and then add 33. The answer is 61. What is my number?
  18. 18.I think of a number, multiply it by 2 and then add 4. The answer is 8. What is my number?
  19. 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 8 and then add 23. The answer is 95. What is my number?
  22. 22.10 × ? − 28 = 52
  23. 23.Solve for x: 3(x + 6) = x + 54. What is x?
  24. 24.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  25. 25.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  26. 26.11 × ? − 17 = 104
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 5 and then add 33. The answer is 128. What is my number?
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 5 and then add 13. The answer is 53. What is my number?
  33. 33.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 6(x + 2) = 3x + 51. What is x?
  35. 35.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  36. 36.11 × ? − 4 = 150
  37. 37.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  39. 39.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?

Answer key

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

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