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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 639 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 5 and then add 31. The answer is 66. What is my number?
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  4. 4.9 × ? − 26 = 28
  5. 5.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 5 and then take away 24. The answer is 11. What is my number?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 6 and then add 8. The answer is 128. What is my number?
  10. 10.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 9 and then add 24. The answer is 267. What is my number?
  12. 12.Solve for x: 8(x + 9) = 7x + 77. What is x?
  13. 13.I think of a number, multiply it by 6 and then add 30. The answer is 180. What is my number?
  14. 14.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 8 and then add 17. The answer is 145. What is my number?
  16. 16.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  17. 17.12 × ? − 8 = 100
  18. 18.4 × ? − 12 = 76
  19. 19.Solve for x: 4(x + 7) = 3x + 39. What is x?
  20. 20.Solve for x: 5(x + 9) = 2x + 96. What is x?
  21. 21.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  24. 24.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 8(x + 8) = 3x + 89. What is x?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 2 and then add 39. The answer is 87. What is my number?
  28. 28.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  30. 30.10 × ? − 24 = 166
  31. 31.Solve for x: 3(x + 1) = 2x + 6. What is x?
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  33. 33.Solve for x: 3(x + 7) = x + 35. What is x?
  34. 34.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  35. 35.10 × ? + 2 = 242
  36. 36.6 × ? + 23 = 173
  37. 37.10 × ? − 26 = 84
  38. 38.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 5 and then add 33. The answer is 128. What is my number?
  40. 40.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?

Answer key

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

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