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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 797 · 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.

NameDateTime takenScore ___ / 40
  1. 1.I think of a number, multiply it by 4 and then add 3. The answer is 103. What is my number?
  2. 2.I think of a number, multiply it by 7 and then take away 8. The answer is 153. What is my number?
  3. 3.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  4. 4.4 × ? − 16 = 4
  5. 5.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  6. 6.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  7. 7.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  10. 10.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 4(x + 1) = 3x + 21. What is x?
  12. 12.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 2 and then add 30. The answer is 84. What is my number?
  15. 15.11 × ? − 12 = 109
  16. 16.11 × ? − 7 = 59
  17. 17.Solve for x: 8(x + 2) = 3x + 21. What is x?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 2 and then add 31. The answer is 87. What is my number?
  20. 20.Solve for x: 9(x + 9) = 5x + 153. What is x?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  23. 23.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 3 and then add 13. The answer is 31. What is my number?
  25. 25.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  26. 26.7 × ? + 20 = 34
  27. 27.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 9 and then add 5. The answer is 149. What is my number?
  29. 29.10 × ? + 12 = 102
  30. 30.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 6 and then take away 33. The answer is 75. What is my number?
  32. 32.Solve for x: 6(x + 3) = 2x + 82. What is x?
  33. 33.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  34. 34.Dev has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 9 and then add 23. The answer is 122. What is my number?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  37. 37.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 7 and then add 40. The answer is 124. What is my number?
  40. 40.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?

Answer key

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

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