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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 990 · 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 5 and then take away 19. The answer is 111. What is my number?
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  5. 5.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then add 18. The answer is 38. What is my number?
  8. 8.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹269 in all. What does one pencil cost (in ₹)?
  9. 9.11 × ? − 18 = 191
  10. 10.I think of a number, multiply it by 9 and then take away 12. The answer is 114. What is my number?
  11. 11.3 × ? + 27 = 36
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  13. 13.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 4(x + 3) = 3x + 30. What is x?
  15. 15.I think of a number, multiply it by 8 and then add 27. The answer is 107. What is my number?
  16. 16.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  18. 18.2 × ? + 19 = 23
  19. 19.Solve for x: 7(x + 7) = 4x + 109. What is x?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.Solve for x: 6(x + 1) = 5x + 7. What is x?
  22. 22.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 8(x + 6) = 7x + 66. What is x?
  24. 24.10 × ? − 10 = 20
  25. 25.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  26. 26.Aditya has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 6 and then add 26. The answer is 98. What is my number?
  29. 29.Solve for x: 7(x + 3) = 5x + 31. What is x?
  30. 30.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 8(x + 6) = 4x + 64. What is x?
  32. 32.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  33. 33.7 × ? + 18 = 32
  34. 34.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  35. 35.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 7 and then add 17. The answer is 52. What is my number?
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹58 in all. What does one pencil cost (in ₹)?

Answer key

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

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