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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 711 · 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.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  3. 3.10 × ? + 12 = 172
  4. 4.I think of a number, multiply it by 8 and then take away 15. The answer is 201. What is my number?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 8 and then add 18. The answer is 210. What is my number?
  8. 8.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then take away 36. The answer is 4. What is my number?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  12. 12.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 8 and then add 8. The answer is 112. What is my number?
  14. 14.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  15. 15.12 × ? + 19 = 151
  16. 16.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  18. 18.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 4(x + 7) = x + 82. What is x?
  21. 21.I think of a number, multiply it by 9 and then add 30. The answer is 75. What is my number?
  22. 22.Sneha has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  24. 24.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then add 5. The answer is 40. What is my number?
  26. 26.Solve for x: 8(x + 8) = 7x + 77. What is x?
  27. 27.5 × ? − 5 = 105
  28. 28.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 5(x + 9) = 2x + 78. What is x?
  30. 30.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 9 and then add 36. The answer is 234. What is my number?
  32. 32.I think of a number, multiply it by 3 and then take away 16. The answer is 5. What is my number?
  33. 33.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 6 and then take away 2. The answer is 148. What is my number?
  35. 35.I think of a number, multiply it by 2 and then add 1. The answer is 43. What is my number?
  36. 36.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  37. 37.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  39. 39.12 × ? + 28 = 304
  40. 40.I think of a number, multiply it by 8 and then take away 35. The answer is 13. What is my number?

Answer key

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

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