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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 648 · 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 5 and then take away 22. The answer is 13. What is my number?
  2. 2.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  4. 4.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  5. 5.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 9 and then take away 34. The answer is 74. What is my number?
  7. 7.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 3 and then add 21. The answer is 96. What is my number?
  9. 9.9 × ? + 9 = 36
  10. 10.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  11. 11.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  13. 13.11 × ? + 1 = 232
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  15. 15.Solve for x: 3(x + 5) = x + 39. What is x?
  16. 16.10 × ? − 7 = 233
  17. 17.4 × ? − 12 = 68
  18. 18.I think of a number, multiply it by 2 and then take away 14. The answer is 22. What is my number?
  19. 19.I think of a number, multiply it by 6 and then take away 16. The answer is 92. What is my number?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 4 and then add 10. The answer is 98. What is my number?
  23. 23.Solve for x: 7(x + 7) = 4x + 55. What is x?
  24. 24.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  25. 25.9 × ? + 1 = 199
  26. 26.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 26. The answer is 102. What is my number?
  28. 28.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  29. 29.2 × ? + 13 = 23
  30. 30.I think of a number, multiply it by 6 and then add 31. The answer is 133. What is my number?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  32. 32.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 3) = x + 42. What is x?
  35. 35.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 6 and then take away 24. The answer is 24. What is my number?
  37. 37.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  38. 38.9 × ? + 16 = 196
  39. 39.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 6(x + 3) = 4x + 22. What is x?

Answer key

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

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