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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 268 · 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. 1.8 × ? − 4 = 124
  2. 2.Solve for x: 6(x + 3) = x + 33. What is x?
  3. 3.9 × ? − 29 = 178
  4. 4.I think of a number, multiply it by 2 and then take away 22. The answer is 26. What is my number?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  6. 6.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  7. 7.4 × ? − 2 = 78
  8. 8.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 9 and then add 13. The answer is 229. What is my number?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  11. 11.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 2 and then add 10. The answer is 28. What is my number?
  15. 15.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 4(x + 1) = 2x + 26. What is x?
  17. 17.Solve for x: 5(x + 8) = 3x + 74. What is x?
  18. 18.5 × ? − 22 = 3
  19. 19.7 × ? − 17 = 18
  20. 20.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  21. 21.9 × ? − 21 = 186
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  23. 23.Solve for x: 7(x + 1) = 2x + 32. What is x?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then take away 15. The answer is 63. What is my number?
  28. 28.Solve for x: 7(x + 9) = x + 117. What is x?
  29. 29.3 × ? + 21 = 75
  30. 30.4 × ? − 6 = 14
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  32. 32.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  33. 33.2 × ? + 22 = 46
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 7) = x + 79. What is x?
  36. 36.I think of a number, multiply it by 7 and then add 23. The answer is 100. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  38. 38.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  39. 39.10 × ? − 18 = 102
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?

Answer key

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

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