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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 613 · 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. 1.11 × ? + 1 = 265
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 2 and then add 8. The answer is 18. What is my number?
  4. 4.Solve for x: 3(x + 3) = 2x + 14. What is x?
  5. 5.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  8. 8.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 4 and then take away 8. The answer is 88. What is my number?
  11. 11.Ishaan has 28 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 2 and then add 11. The answer is 51. What is my number?
  14. 14.I think of a number, multiply it by 6 and then add 34. The answer is 94. What is my number?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  16. 16.10 × ? − 28 = 132
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.10 × ? − 30 = 20
  19. 19.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 8 and then take away 3. The answer is 189. What is my number?
  21. 21.I think of a number, multiply it by 7 and then add 40. The answer is 138. What is my number?
  22. 22.Solve for x: 3(x + 6) = x + 28. What is x?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  24. 24.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then add 8. The answer is 54. What is my number?
  29. 29.2 × ? − 5 = 43
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 7 and then take away 3. The answer is 81. What is my number?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  34. 34.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  36. 36.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  37. 37.11 × ? + 5 = 137
  38. 38.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹310 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 9(x + 8) = 5x + 128. What is x?

Answer key

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

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