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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 412 · 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. 1.8 × ? − 15 = 17
  2. 2.Solve for x: 3(x + 2) = 2x + 15. What is x?
  3. 3.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  5. 5.Solve for x: 8(x + 3) = 3x + 34. What is x?
  6. 6.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 4(x + 6) = 2x + 26. What is x?
  8. 8.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  10. 10.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  12. 12.Solve for x: 7(x + 7) = x + 97. What is x?
  13. 13.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 3 and then add 25. The answer is 73. What is my number?
  15. 15.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  16. 16.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 3 and then take away 5. The answer is 22. What is my number?
  18. 18.Solve for x: 7(x + 4) = 6x + 44. What is x?
  19. 19.Solve for x: 6(x + 1) = 3x + 54. What is x?
  20. 20.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 6(x + 6) = x + 86. What is x?
  22. 22.9 × ? + 26 = 44
  23. 23.8 × ? − 6 = 58
  24. 24.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  25. 25.6 × ? − 17 = 109
  26. 26.I think of a number, multiply it by 8 and then add 23. The answer is 63. What is my number?
  27. 27.I think of a number, multiply it by 7 and then take away 32. The answer is 157. What is my number?
  28. 28.I think of a number, multiply it by 4 and then take away 6. The answer is 86. What is my number?
  29. 29.A pen costs ₹4 more than a pencil. 3 pens and 8 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  30. 30.12 × ? + 3 = 123
  31. 31.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  32. 32.5 × ? + 1 = 111
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  34. 34.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 1) = 5x + 7. What is x?
  36. 36.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹291 in all. What does one pencil cost (in ₹)?
  37. 37.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  38. 38.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹58 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 16 m. What is its breadth (in m)?
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 6 pencils cost ₹73 in all. What does one pencil cost (in ₹)?

Answer key

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

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