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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 922 · 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. 1.6 × ? − 28 = 122
  2. 2.12 × ? − 23 = 265
  3. 3.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  5. 5.Solve for x: 5(x + 8) = 4x + 58. What is x?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  8. 8.Solve for x: 3(x + 9) = x + 45. What is x?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  10. 10.Solve for x: 3(x + 4) = x + 16. What is x?
  11. 11.5 × ? + 11 = 106
  12. 12.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  14. 14.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  16. 16.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 6 and then take away 27. The answer is 15. What is my number?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  19. 19.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  20. 20.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  22. 22.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  25. 25.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 5 and then add 8. The answer is 18. What is my number?
  27. 27.4 × ? − 9 = 15
  28. 28.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  29. 29.4 × ? − 1 = 15
  30. 30.Solve for x: 3(x + 6) = 2x + 21. What is x?
  31. 31.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  32. 32.4 × ? + 5 = 25
  33. 33.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  34. 34.3 × ? + 10 = 70
  35. 35.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 8 and then add 13. The answer is 109. What is my number?
  37. 37.4 × ? + 22 = 82
  38. 38.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  39. 39.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?

Answer key

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

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