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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 814 · 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. 1.12 × ? + 25 = 217
  2. 2.Solve for x: 4(x + 8) = 2x + 38. What is x?
  3. 3.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  5. 5.3 × ? + 11 = 26
  6. 6.Solve for x: 9(x + 9) = x + 137. What is x?
  7. 7.I think of a number, multiply it by 7 and then take away 3. The answer is 207. What is my number?
  8. 8.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  9. 9.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  11. 11.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  12. 12.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 6 and then take away 3. The answer is 93. What is my number?
  14. 14.I think of a number, multiply it by 3 and then add 22. The answer is 49. What is my number?
  15. 15.2 × ? + 3 = 13
  16. 16.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 7 and then add 22. The answer is 232. What is my number?
  18. 18.I think of a number, multiply it by 3 and then take away 17. The answer is 64. What is my number?
  19. 19.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then take away 20. The answer is 12. What is my number?
  22. 22.2 × ? + 30 = 68
  23. 23.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  24. 24.7 × ? + 27 = 188
  25. 25.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then take away 25. The answer is 137. What is my number?
  28. 28.4 × ? − 4 = 60
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  30. 30.Solve for x: 4(x + 3) = 2x + 30. What is x?
  31. 31.Solve for x: 8(x + 8) = x + 197. What is x?
  32. 32.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 2 and then take away 23. The answer is 27. What is my number?
  35. 35.Solve for x: 3(x + 9) = 2x + 42. What is x?
  36. 36.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 5 and then take away 22. The answer is 83. What is my number?
  39. 39.7 × ? − 13 = 134
  40. 40.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?

Answer key

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

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