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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 883 · 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.Solve for x: 9(x + 9) = 6x + 93. What is x?
  2. 2.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 3 and then take away 20. The answer is 13. What is my number?
  4. 4.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  5. 5.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 3 and then take away 9. The answer is 3. What is my number?
  9. 9.7 × ? − 8 = 132
  10. 10.Solve for x: 8(x + 4) = 5x + 86. What is x?
  11. 11.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  14. 14.Solve for x: 7(x + 4) = 6x + 45. What is x?
  15. 15.I think of a number, multiply it by 7 and then add 29. The answer is 148. What is my number?
  16. 16.Solve for x: 3(x + 5) = x + 27. What is x?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  18. 18.9 × ? + 7 = 25
  19. 19.Solve for x: 4(x + 2) = x + 56. What is x?
  20. 20.Solve for x: 9(x + 7) = 2x + 98. What is x?
  21. 21.10 × ? + 22 = 62
  22. 22.3 × ? + 2 = 44
  23. 23.Solve for x: 5(x + 8) = 2x + 55. What is x?
  24. 24.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 3) = 2x + 46. What is x?
  28. 28.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹268 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  31. 31.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  32. 32.3 × ? − 2 = 67
  33. 33.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  36. 36.3 × ? − 20 = 40
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  38. 38.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  39. 39.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?

Answer key

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

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