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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 175 · 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 add 32. The answer is 78. What is my number?
  2. 2.6 × ? − 22 = 32
  3. 3.3 × ? − 11 = 64
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  5. 5.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 5) = x + 41. What is x?
  8. 8.Solve for x: 8(x + 8) = 4x + 76. What is x?
  9. 9.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  10. 10.2 × ? − 4 = 12
  11. 11.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  12. 12.12 × ? − 9 = 111
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? + 6 = 12
  16. 16.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  17. 17.7 × ? − 24 = 123
  18. 18.Solve for x: 3(x + 1) = x + 35. What is x?
  19. 19.Solve for x: 8(x + 4) = 7x + 33. What is x?
  20. 20.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  21. 21.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 2 and then take away 25. The answer is 17. What is my number?
  25. 25.Solve for x: 5(x + 5) = 2x + 52. What is x?
  26. 26.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹132 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 112 m. What is its breadth (in m)?
  28. 28.Solve for x: 8(x + 6) = 2x + 96. What is x?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  30. 30.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 2 and then take away 31. The answer is 11. What is my number?
  32. 32.I think of a number, multiply it by 7 and then add 19. The answer is 110. What is my number?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  35. 35.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 5 and then add 3. The answer is 63. What is my number?
  37. 37.I think of a number, multiply it by 6 and then take away 14. The answer is 166. What is my number?
  38. 38.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 5(x + 2) = 2x + 43. What is x?
  40. 40.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?

Answer key

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

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