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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 699 · 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 9 and then take away 1. The answer is 116. What is my number?
  2. 2.4 × ? + 7 = 31
  3. 3.Solve for x: 3(x + 3) = 2x + 18. What is x?
  4. 4.5 × ? + 19 = 29
  5. 5.I think of a number, multiply it by 6 and then take away 1. The answer is 53. What is my number?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 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 6 and then take away 19. The answer is 83. What is my number?
  9. 9.Solve for x: 3(x + 1) = 2x + 15. What is x?
  10. 10.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 4(x + 5) = x + 32. What is x?
  12. 12.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  14. 14.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 2) = 2x + 44. What is x?
  17. 17.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  18. 18.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  21. 21.Solve for x: 3(x + 1) = x + 29. What is x?
  22. 22.11 × ? − 17 = 104
  23. 23.8 × ? + 4 = 204
  24. 24.I think of a number, multiply it by 4 and then add 10. The answer is 82. What is my number?
  25. 25.I think of a number, multiply it by 6 and then take away 38. The answer is 76. What is my number?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  27. 27.6 × ? + 9 = 99
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  29. 29.Solve for x: 6(x + 9) = x + 64. What is x?
  30. 30.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  33. 33.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 5 and then add 36. The answer is 156. What is my number?
  36. 36.I think of a number, multiply it by 5 and then take away 4. The answer is 116. What is my number?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  38. 38.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  39. 39.4 × ? + 20 = 88
  40. 40.8 × ? − 8 = 16

Answer key

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

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