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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 529 · 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 6 and then add 8. The answer is 44. What is my number?
  2. 2.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹275 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 9 and then take away 16. The answer is 119. What is my number?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  6. 6.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  9. 9.5 × ? + 10 = 75
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  14. 14.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  15. 15.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  16. 16.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  17. 17.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 5) = 6x + 50. What is x?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  20. 20.9 × ? + 12 = 183
  21. 21.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  22. 22.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 4 and then add 27. The answer is 35. What is my number?
  24. 24.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 2 and then add 2. The answer is 22. What is my number?
  26. 26.Solve for x: 6(x + 4) = 5x + 27. What is x?
  27. 27.Solve for x: 9(x + 1) = 2x + 16. What is x?
  28. 28.I think of a number, multiply it by 7 and then add 12. The answer is 131. What is my number?
  29. 29.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  30. 30.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  31. 31.11 × ? + 2 = 255
  32. 32.I think of a number, multiply it by 5 and then add 11. The answer is 131. What is my number?
  33. 33.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 8 and then take away 9. The answer is 15. What is my number?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 8 and then add 4. The answer is 156. What is my number?
  40. 40.I think of a number, multiply it by 6 and then take away 23. The answer is 133. What is my number?

Answer key

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

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