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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 878 · 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 7 and then add 35. The answer is 49. What is my number?
  2. 2.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? − 5 = 60
  4. 4.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  5. 5.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 6(x + 2) = x + 42. What is x?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then add 20. The answer is 80. What is my number?
  9. 9.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 9 and then add 20. The answer is 182. What is my number?
  11. 11.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  12. 12.6 × ? − 7 = 137
  13. 13.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  15. 15.4 × ? − 5 = 43
  16. 16.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 3 and then take away 1. The answer is 29. What is my number?
  19. 19.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  20. 20.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  22. 22.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 9 and then add 38. The answer is 272. What is my number?
  27. 27.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  28. 28.12 × ? + 19 = 127
  29. 29.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 8 and then take away 11. The answer is 53. What is my number?
  31. 31.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then add 25. The answer is 46. What is my number?
  33. 33.I think of a number, multiply it by 5 and then add 38. The answer is 133. What is my number?
  34. 34.4 × ? + 5 = 53
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  38. 38.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 5(x + 1) = 2x + 59. What is x?
  40. 40.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?

Answer key

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

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