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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 717 · 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 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 3 and then add 16. The answer is 100. What is my number?
  3. 3.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then add 40. The answer is 89. What is my number?
  5. 5.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then add 12. The answer is 186. What is my number?
  7. 7.10 × ? − 26 = 224
  8. 8.Solve for x: 3(x + 6) = x + 34. What is x?
  9. 9.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  11. 11.Saanvi has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 9) = 2x + 62. What is x?
  13. 13.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  14. 14.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  17. 17.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then take away 19. The answer is 41. What is my number?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  21. 21.6 × ? + 29 = 179
  22. 22.I think of a number, multiply it by 9 and then take away 2. The answer is 232. What is my number?
  23. 23.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 8(x + 5) = 3x + 95. What is x?
  25. 25.I think of a number, multiply it by 3 and then take away 2. The answer is 4. What is my number?
  26. 26.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  27. 27.5 × ? + 26 = 76
  28. 28.I think of a number, multiply it by 9 and then add 9. The answer is 207. What is my number?
  29. 29.11 × ? − 15 = 62
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  31. 31.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  32. 32.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  35. 35.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  36. 36.6 × ? − 17 = 85
  37. 37.Farhan has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 6) = 2x + 37. What is x?
  39. 39.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  40. 40.5 × ? − 12 = 98

Answer key

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

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