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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 321 · 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.I think of a number, multiply it by 4 and then take away 5. The answer is 35. What is my number?
  2. 2.I think of a number, multiply it by 2 and then take away 23. The answer is 35. What is my number?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  4. 4.11 × ? − 23 = 87
  5. 5.I think of a number, multiply it by 4 and then add 37. The answer is 61. What is my number?
  6. 6.8 × ? − 12 = 116
  7. 7.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  9. 9.Solve for x: 9(x + 8) = 8x + 74. What is x?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  12. 12.11 × ? − 8 = 102
  13. 13.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 2 and then add 5. The answer is 55. What is my number?
  16. 16.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  17. 17.Solve for x: 3(x + 4) = x + 22. What is x?
  18. 18.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  19. 19.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  20. 20.11 × ? − 13 = 31
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  22. 22.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  24. 24.5 × ? + 8 = 113
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  28. 28.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 4 and then add 36. The answer is 140. What is my number?
  30. 30.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 9(x + 1) = 7x + 11. What is x?
  32. 32.I think of a number, multiply it by 5 and then add 39. The answer is 64. What is my number?
  33. 33.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  35. 35.6 × ? + 9 = 123
  36. 36.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  40. 40.Solve for x: 3(x + 3) = 2x + 23. What is x?

Answer key

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

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