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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 79 · 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.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  4. 4.Saanvi has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  5. 5.Manav has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  6. 6.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  7. 7.11 × ? − 10 = 89
  8. 8.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 2 and then add 16. The answer is 60. What is my number?
  11. 11.Solve for x: 4(x + 1) = 3x + 14. What is x?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  14. 14.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  15. 15.3 × ? + 9 = 15
  16. 16.I think of a number, multiply it by 4 and then add 9. The answer is 37. What is my number?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  20. 20.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then take away 20. The answer is 85. What is my number?
  23. 23.Solve for x: 7(x + 7) = 4x + 58. What is x?
  24. 24.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  25. 25.Ananya has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  26. 26.9 × ? + 23 = 104
  27. 27.Solve for x: 9(x + 8) = 3x + 150. What is x?
  28. 28.I think of a number, multiply it by 7 and then add 10. The answer is 87. What is my number?
  29. 29.I think of a number, multiply it by 3 and then take away 9. The answer is 3. What is my number?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then take away 13. The answer is 5. What is my number?
  32. 32.11 × ? + 21 = 131
  33. 33.Solve for x: 4(x + 9) = x + 96. What is x?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  35. 35.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 4 and then add 27. The answer is 43. What is my number?
  37. 37.I think of a number, multiply it by 6 and then take away 29. The answer is 115. What is my number?
  38. 38.5 × ? − 20 = 40
  39. 39.I think of a number, multiply it by 3 and then take away 19. The answer is 38. What is my number?
  40. 40.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?

Answer key

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

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