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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 273 · 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.Solve for x: 5(x + 1) = 4x + 8. What is x?
  2. 2.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 5 and then add 28. The answer is 158. What is my number?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  5. 5.6 × ? − 9 = 27
  6. 6.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 5(x + 4) = 4x + 21. What is x?
  8. 8.12 × ? − 14 = 154
  9. 9.Aarav has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  11. 11.Solve for x: 4(x + 1) = 3x + 17. What is x?
  12. 12.Solve for x: 6(x + 7) = 2x + 118. What is x?
  13. 13.4 × ? + 23 = 47
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 4 and then add 19. The answer is 111. What is my number?
  16. 16.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  18. 18.Solve for x: 7(x + 4) = 2x + 113. What is x?
  19. 19.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  20. 20.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 5 and then add 8. The answer is 103. What is my number?
  22. 22.6 × ? − 8 = 34
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  24. 24.Solve for x: 4(x + 6) = x + 30. What is x?
  25. 25.I think of a number, multiply it by 6 and then take away 9. The answer is 63. What is my number?
  26. 26.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  28. 28.Solve for x: 7(x + 2) = 2x + 54. What is x?
  29. 29.I think of a number, multiply it by 2 and then add 39. The answer is 79. What is my number?
  30. 30.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  31. 31.12 × ? + 18 = 42
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  34. 34.Solve for x: 7(x + 1) = x + 43. What is x?
  35. 35.10 × ? − 10 = 230
  36. 36.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 3 and then add 37. The answer is 121. What is my number?
  38. 38.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  39. 39.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?

Answer key

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

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