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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 287 · 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 take away 19. The answer is 137. What is my number?
  2. 2.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  4. 4.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  5. 5.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  7. 7.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then take away 33. The answer is 6. What is my number?
  9. 9.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 8 and then take away 28. The answer is 140. What is my number?
  11. 11.I think of a number, multiply it by 4 and then take away 4. The answer is 56. What is my number?
  12. 12.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  14. 14.A pen costs ₹15 more than a pencil. 4 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  16. 16.Solve for x: 6(x + 9) = 4x + 72. What is x?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  18. 18.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  19. 19.3 × ? + 9 = 63
  20. 20.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  23. 23.12 × ? + 19 = 307
  24. 24.Solve for x: 3(x + 2) = x + 26. What is x?
  25. 25.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  26. 26.Ishaan has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  29. 29.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 4 and then take away 25. The answer is 95. What is my number?
  31. 31.I think of a number, multiply it by 4 and then add 12. The answer is 104. What is my number?
  32. 32.4 × ? − 15 = 5
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  34. 34.8 × ? + 27 = 51
  35. 35.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  36. 36.2 × ? − 6 = 14
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  38. 38.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then add 6. The answer is 38. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

Answer key

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

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