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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 320 · 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. 1.2 × ? + 20 = 64
  2. 2.I think of a number, multiply it by 9 and then take away 1. The answer is 44. What is my number?
  3. 3.5 × ? + 3 = 48
  4. 4.7 × ? + 5 = 19
  5. 5.Solve for x: 8(x + 2) = 7x + 21. What is x?
  6. 6.Solve for x: 4(x + 8) = 3x + 41. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 9 and then add 27. The answer is 108. What is my number?
  9. 9.I think of a number, multiply it by 3 and then add 10. The answer is 19. What is my number?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  12. 12.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 4(x + 5) = x + 74. What is x?
  14. 14.2 × ? − 6 = 30
  15. 15.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 7 and then take away 1. The answer is 13. What is my number?
  17. 17.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then take away 27. The answer is 21. What is my number?
  19. 19.Solve for x: 4(x + 4) = x + 19. What is x?
  20. 20.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 6(x + 8) = x + 123. What is x?
  22. 22.8 × ? − 11 = 29
  23. 23.12 × ? − 21 = 219
  24. 24.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  25. 25.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 5(x + 6) = 2x + 33. What is x?
  28. 28.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  32. 32.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  33. 33.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 7 and then take away 16. The answer is 187. What is my number?
  35. 35.Solve for x: 5(x + 4) = 4x + 23. What is x?
  36. 36.4 × ? − 19 = 65
  37. 37.Solve for x: 3(x + 5) = x + 53. What is x?
  38. 38.6 × ? + 17 = 35
  39. 39.6 × ? − 20 = 46
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?

Answer key

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

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