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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 218 · 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 2 and then take away 30. The answer is 4. What is my number?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 6 and then add 29. The answer is 113. What is my number?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  6. 6.Priya has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  7. 7.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 9 and then add 33. The answer is 213. What is my number?
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  10. 10.Solve for x: 9(x + 9) = 2x + 109. What is x?
  11. 11.I think of a number, multiply it by 5 and then take away 9. The answer is 36. What is my number?
  12. 12.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  13. 13.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then take away 36. The answer is 13. What is my number?
  15. 15.6 × ? + 28 = 70
  16. 16.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  17. 17.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  21. 21.8 × ? − 13 = 163
  22. 22.I think of a number, multiply it by 2 and then add 24. The answer is 78. What is my number?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 2 and then take away 2. The answer is 54. What is my number?
  25. 25.Solve for x: 4(x + 6) = 2x + 36. What is x?
  26. 26.Solve for x: 5(x + 9) = x + 81. What is x?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  28. 28.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 5(x + 9) = 4x + 47. What is x?
  30. 30.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  32. 32.6 × ? − 22 = 74
  33. 33.I think of a number, multiply it by 8 and then add 26. The answer is 74. What is my number?
  34. 34.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  35. 35.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  36. 36.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  37. 37.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 6) = 2x + 30. What is x?
  39. 39.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  40. 40.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?

Answer key

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

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