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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 983 · 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 2 and then take away 11. The answer is 11. What is my number?
  2. 2.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then add 23. The answer is 179. What is my number?
  4. 4.Solve for x: 9(x + 3) = 3x + 81. What is x?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  6. 6.8 × ? − 2 = 102
  7. 7.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 5(x + 4) = 4x + 35. What is x?
  9. 9.Solve for x: 3(x + 6) = x + 44. What is x?
  10. 10.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 2) = 2x + 11. What is x?
  12. 12.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  13. 13.3 × ? + 1 = 25
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.8 × ? − 20 = 20
  16. 16.Solve for x: 3(x + 2) = 2x + 14. What is x?
  17. 17.7 × ? − 12 = 128
  18. 18.I think of a number, multiply it by 4 and then add 23. The answer is 47. What is my number?
  19. 19.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  21. 21.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  23. 23.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  24. 24.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 5(x + 5) = 4x + 45. What is x?
  26. 26.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  28. 28.12 × ? + 3 = 75
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.5 × ? + 16 = 106
  31. 31.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  32. 32.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  34. 34.10 × ? + 12 = 202
  35. 35.Solve for x: 9(x + 2) = 8x + 25. What is x?
  36. 36.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then take away 34. The answer is 209. What is my number?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  40. 40.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?

Answer key

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

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