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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 734 · 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.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  2. 2.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  4. 4.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then take away 35. The answer is 30. What is my number?
  7. 7.I think of a number, multiply it by 2 and then take away 14. The answer is 46. What is my number?
  8. 8.I think of a number, multiply it by 5 and then add 32. The answer is 67. What is my number?
  9. 9.I think of a number, multiply it by 3 and then add 39. The answer is 108. What is my number?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  11. 11.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 8(x + 7) = 7x + 67. What is x?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 7 and then take away 31. The answer is 165. What is my number?
  16. 16.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  17. 17.9 × ? + 13 = 112
  18. 18.I think of a number, multiply it by 6 and then add 22. The answer is 154. What is my number?
  19. 19.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  21. 21.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  23. 23.6 × ? + 3 = 27
  24. 24.Solve for x: 4(x + 3) = 2x + 46. What is x?
  25. 25.2 × ? + 27 = 53
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  27. 27.5 × ? − 28 = 32
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  29. 29.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 5(x + 6) = x + 90. What is x?
  31. 31.I think of a number, multiply it by 6 and then add 17. The answer is 197. What is my number?
  32. 32.5 × ? − 15 = 50
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  34. 34.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  35. 35.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  39. 39.Solve for x: 6(x + 1) = 2x + 42. What is x?
  40. 40.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?

Answer key

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

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