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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 904 · 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. 1.9 × ? + 24 = 231
  2. 2.Dev has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 3(x + 8) = 2x + 28. What is x?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  6. 6.3 × ? − 2 = 64
  7. 7.Solve for x: 9(x + 7) = 4x + 68. What is x?
  8. 8.I think of a number, multiply it by 2 and then add 3. The answer is 53. What is my number?
  9. 9.Solve for x: 8(x + 8) = 6x + 84. What is x?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 4 and then take away 38. The answer is 74. What is my number?
  12. 12.2 × ? + 28 = 36
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then add 2. The answer is 54. What is my number?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  17. 17.9 × ? − 22 = 104
  18. 18.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 3 and then add 1. The answer is 37. What is my number?
  20. 20.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 9 and then add 31. The answer is 292. What is my number?
  22. 22.Manav has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 5) = x + 23. What is x?
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  25. 25.12 × ? − 14 = 214
  26. 26.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  27. 27.2 × ? + 2 = 8
  28. 28.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  29. 29.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  30. 30.4 × ? − 21 = 75
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  32. 32.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 9) = 5x + 60. What is x?
  34. 34.Solve for x: 8(x + 4) = x + 53. What is x?
  35. 35.Solve for x: 4(x + 6) = 2x + 26. What is x?
  36. 36.7 × ? − 2 = 75
  37. 37.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 7) = x + 88. What is x?
  39. 39.I think of a number, multiply it by 9 and then take away 38. The answer is 223. What is my number?
  40. 40.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?

Answer key

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

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