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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 222 · 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.

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  1. 1.I think of a number, multiply it by 6 and then add 10. The answer is 70. What is my number?
  2. 2.Solve for x: 8(x + 1) = 2x + 80. What is x?
  3. 3.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 3 and then add 20. The answer is 26. What is my number?
  5. 5.Solve for x: 8(x + 4) = x + 109. What is x?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  8. 8.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  9. 9.8 × ? − 13 = 131
  10. 10.Solve for x: 5(x + 9) = x + 117. What is x?
  11. 11.8 × ? − 19 = 53
  12. 12.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  16. 16.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  17. 17.10 × ? + 9 = 29
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  19. 19.Solve for x: 8(x + 7) = x + 98. What is x?
  20. 20.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  21. 21.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  23. 23.5 × ? − 3 = 37
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  25. 25.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 7(x + 3) = 5x + 61. What is x?
  27. 27.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  28. 28.6 × ? + 14 = 26
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 9 and then add 37. The answer is 127. What is my number?
  31. 31.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 7 and then take away 27. The answer is 162. What is my number?
  33. 33.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  37. 37.Solve for x: 6(x + 6) = 3x + 72. What is x?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  39. 39.4 × ? + 2 = 30
  40. 40.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?

Answer key

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

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