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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 503 · 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 2. The answer is 68. What is my number?
  2. 2.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 7 and then add 7. The answer is 175. What is my number?
  4. 4.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then take away 33. The answer is 2. What is my number?
  6. 6.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  7. 7.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  9. 9.9 × ? + 27 = 81
  10. 10.Solve for x: 8(x + 4) = 4x + 52. What is x?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  12. 12.6 × ? − 18 = 66
  13. 13.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  14. 14.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 9. The answer is 65. What is my number?
  19. 19.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 9 and then add 27. The answer is 72. What is my number?
  23. 23.Solve for x: 8(x + 8) = 6x + 98. What is x?
  24. 24.I think of a number, multiply it by 8 and then add 33. The answer is 89. What is my number?
  25. 25.Zoya has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  26. 26.2 × ? + 5 = 55
  27. 27.11 × ? − 5 = 193
  28. 28.I think of a number, multiply it by 6 and then add 31. The answer is 103. What is my number?
  29. 29.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  30. 30.11 × ? + 12 = 56
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  32. 32.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  33. 33.10 × ? − 16 = 134
  34. 34.7 × ? − 12 = 121
  35. 35.I think of a number, multiply it by 9 and then add 10. The answer is 154. What is my number?
  36. 36.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  38. 38.7 × ? − 19 = 107
  39. 39.11 × ? − 12 = 175
  40. 40.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?

Answer key

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

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