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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 179 · 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 3 and then add 38. The answer is 119. What is my number?
  2. 2.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  5. 5.Solve for x: 4(x + 4) = 2x + 32. What is x?
  6. 6.10 × ? + 19 = 199
  7. 7.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  8. 8.11 × ? + 14 = 80
  9. 9.Solve for x: 4(x + 8) = x + 86. What is x?
  10. 10.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  14. 14.10 × ? − 4 = 226
  15. 15.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 9(x + 9) = 2x + 109. What is x?
  17. 17.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 8(x + 7) = 6x + 68. What is x?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  20. 20.7 × ? + 5 = 26
  21. 21.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  22. 22.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 9 and then add 18. The answer is 279. What is my number?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  25. 25.Solve for x: 3(x + 2) = x + 26. What is x?
  26. 26.8 × ? + 8 = 152
  27. 27.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  28. 28.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  29. 29.10 × ? − 11 = 239
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then add 24. The answer is 115. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then add 40. The answer is 52. What is my number?
  34. 34.I think of a number, multiply it by 3 and then take away 6. The answer is 69. What is my number?
  35. 35.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  38. 38.Solve for x: 9(x + 1) = 2x + 30. What is x?
  39. 39.Solve for x: 6(x + 5) = 5x + 43. What is x?
  40. 40.Solve for x: 8(x + 8) = 5x + 106. What is x?

Answer key

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

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