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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 451 · 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.

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  1. 1.Solve for x: 5(x + 9) = 2x + 48. What is x?
  2. 2.6 × ? − 3 = 99
  3. 3.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 7(x + 8) = x + 164. What is x?
  5. 5.Solve for x: 5(x + 3) = 2x + 27. What is x?
  6. 6.2 × ? − 23 = 11
  7. 7.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 6 and then add 2. The answer is 20. What is my number?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then take away 15. The answer is 90. What is my number?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  13. 13.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  15. 15.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  17. 17.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  19. 19.Solve for x: 9(x + 3) = x + 147. What is x?
  20. 20.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  22. 22.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 8(x + 5) = x + 89. What is x?
  24. 24.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 6) = x + 36. What is x?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  27. 27.Solve for x: 3(x + 5) = x + 27. What is x?
  28. 28.I think of a number, multiply it by 7 and then take away 33. The answer is 86. What is my number?
  29. 29.I think of a number, multiply it by 6 and then add 36. The answer is 48. What is my number?
  30. 30.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 3 and then add 31. The answer is 106. What is my number?
  32. 32.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 2 and then add 3. The answer is 55. What is my number?
  34. 34.Solve for x: 8(x + 5) = 4x + 100. What is x?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  37. 37.11 × ? − 16 = 6
  38. 38.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?

Answer key

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

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