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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 137 · 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 17. The answer is 77. What is my number?
  2. 2.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  6. 6.Solve for x: 3(x + 6) = x + 26. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  8. 8.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 8 and then add 21. The answer is 93. What is my number?
  10. 10.I think of a number, multiply it by 7 and then take away 23. The answer is 166. What is my number?
  11. 11.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 3(x + 9) = 2x + 42. What is x?
  13. 13.7 × ? + 6 = 181
  14. 14.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  16. 16.9 × ? + 1 = 19
  17. 17.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then add 35. The answer is 215. What is my number?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 7 and then take away 39. The answer is 143. What is my number?
  21. 21.Solve for x: 3(x + 8) = x + 38. What is x?
  22. 22.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 7(x + 1) = 4x + 61. What is x?
  24. 24.Solve for x: 4(x + 2) = 3x + 9. What is x?
  25. 25.I think of a number, multiply it by 3 and then add 39. The answer is 93. What is my number?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  27. 27.Solve for x: 6(x + 8) = x + 148. What is x?
  28. 28.10 × ? + 17 = 197
  29. 29.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  31. 31.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  32. 32.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 4) = 3x + 42. What is x?
  35. 35.8 × ? + 30 = 94
  36. 36.I think of a number, multiply it by 8 and then add 1. The answer is 49. What is my number?
  37. 37.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 1) = 3x + 7. What is x?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  40. 40.A pen costs ₹7 more than a pencil. 6 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?

Answer key

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

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