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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 365 · 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.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then add 19. The answer is 251. What is my number?
  6. 6.I think of a number, multiply it by 9 and then add 22. The answer is 274. What is my number?
  7. 7.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 6(x + 4) = 5x + 26. What is x?
  9. 9.Solve for x: 3(x + 4) = x + 14. What is x?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  11. 11.Solve for x: 8(x + 4) = x + 102. What is x?
  12. 12.Solve for x: 8(x + 1) = 7x + 28. What is x?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 3 and then add 13. The answer is 34. What is my number?
  15. 15.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  17. 17.8 × ? + 2 = 194
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  19. 19.Solve for x: 7(x + 4) = 6x + 39. What is x?
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  21. 21.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  23. 23.Solve for x: 9(x + 9) = 5x + 117. What is x?
  24. 24.Solve for x: 7(x + 5) = 6x + 53. What is x?
  25. 25.I think of a number, multiply it by 2 and then add 9. The answer is 55. What is my number?
  26. 26.12 × ? + 28 = 112
  27. 27.I think of a number, multiply it by 2 and then add 13. The answer is 59. What is my number?
  28. 28.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 5 and then add 15. The answer is 50. What is my number?
  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.I think of a number, multiply it by 2 and then add 12. The answer is 48. What is my number?
  32. 32.I think of a number, multiply it by 6 and then take away 9. The answer is 33. What is my number?
  33. 33.10 × ? − 26 = 124
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 3 and then add 3. The answer is 78. What is my number?
  37. 37.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  38. 38.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 3 and then take away 21. The answer is 54. What is my number?

Answer key

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

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