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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 746 · 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. 1.7 × ? − 16 = 124
  2. 2.Solve for x: 5(x + 9) = 3x + 81. What is x?
  3. 3.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  4. 4.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then add 20. The answer is 52. What is my number?
  7. 7.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹22 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 3 and then add 23. The answer is 50. What is my number?
  12. 12.Solve for x: 4(x + 9) = 3x + 54. What is x?
  13. 13.I think of a number, multiply it by 4 and then take away 4. The answer is 72. What is my number?
  14. 14.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  15. 15.11 × ? − 16 = 193
  16. 16.2 × ? + 13 = 35
  17. 17.I think of a number, multiply it by 5 and then add 1. The answer is 26. What is my number?
  18. 18.11 × ? − 15 = 95
  19. 19.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  21. 21.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 8 and then take away 34. The answer is 54. What is my number?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  24. 24.Solve for x: 7(x + 1) = 6x + 16. What is x?
  25. 25.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 5 and then take away 3. The answer is 107. What is my number?
  27. 27.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  28. 28.10 × ? − 10 = 220
  29. 29.3 × ? − 7 = 38
  30. 30.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  31. 31.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 3(x + 8) = x + 28. What is x?
  33. 33.6 × ? − 23 = 1
  34. 34.6 × ? + 29 = 53
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  36. 36.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  37. 37.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 7(x + 1) = x + 109. What is x?
  40. 40.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?

Answer key

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

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