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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 416 · 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. 1.5 × ? − 3 = 117
  2. 2.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  4. 4.8 × ? + 5 = 173
  5. 5.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  7. 7.4 × ? + 24 = 120
  8. 8.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  11. 11.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 9 and then add 6. The answer is 249. What is my number?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  14. 14.Solve for x: 4(x + 3) = x + 27. What is x?
  15. 15.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 5(x + 8) = x + 68. What is x?
  17. 17.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 4 and then take away 12. The answer is 12. What is my number?
  20. 20.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then add 27. The answer is 84. What is my number?
  22. 22.Solve for x: 3(x + 1) = x + 35. What is x?
  23. 23.Zoya has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 6 and then take away 22. The answer is 74. What is my number?
  25. 25.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  27. 27.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  28. 28.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  29. 29.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then add 18. The answer is 60. What is my number?
  32. 32.Solve for x: 5(x + 3) = 2x + 45. What is x?
  33. 33.Solve for x: 8(x + 8) = 2x + 88. What is x?
  34. 34.I think of a number, multiply it by 4 and then add 33. The answer is 101. What is my number?
  35. 35.Solve for x: 3(x + 6) = x + 44. What is x?
  36. 36.11 × ? − 25 = 8
  37. 37.Solve for x: 7(x + 5) = 4x + 83. What is x?
  38. 38.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  39. 39.5 × ? − 11 = 54
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?

Answer key

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

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