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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 111 · 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 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 4 and then take away 26. The answer is 82. What is my number?
  3. 3.Solve for x: 3(x + 6) = x + 20. What is x?
  4. 4.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 7(x + 8) = 6x + 76. What is x?
  6. 6.Solve for x: 5(x + 4) = x + 32. What is x?
  7. 7.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then add 10. The answer is 202. What is my number?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  10. 10.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 6 and then add 14. The answer is 44. What is my number?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  14. 14.Solve for x: 8(x + 1) = 4x + 20. What is x?
  15. 15.I think of a number, multiply it by 6 and then add 36. The answer is 168. What is my number?
  16. 16.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then add 9. The answer is 33. What is my number?
  18. 18.12 × ? − 18 = 6
  19. 19.3 × ? + 24 = 93
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then take away 21. The answer is 48. What is my number?
  22. 22.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  23. 23.4 × ? + 29 = 81
  24. 24.Solve for x: 6(x + 7) = 2x + 46. What is x?
  25. 25.Solve for x: 3(x + 3) = 2x + 12. What is x?
  26. 26.I think of a number, multiply it by 2 and then take away 4. The answer is 36. What is my number?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  28. 28.Solve for x: 5(x + 1) = 4x + 23. What is x?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.Solve for x: 7(x + 3) = 5x + 31. What is x?
  31. 31.I think of a number, multiply it by 9 and then take away 31. The answer is 158. What is my number?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 9 and then add 36. The answer is 306. What is my number?
  34. 34.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  36. 36.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then add 33. The answer is 93. What is my number?
  39. 39.I think of a number, multiply it by 5 and then take away 27. The answer is 33. What is my number?
  40. 40.I think of a number, multiply it by 2 and then add 1. The answer is 17. What is my number?

Answer key

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

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