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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 205 · 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 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  2. 2.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 6(x + 6) = 4x + 64. What is x?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 4 and then take away 6. The answer is 26. What is my number?
  7. 7.Solve for x: 7(x + 9) = 5x + 91. What is x?
  8. 8.12 × ? − 8 = 16
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  10. 10.Solve for x: 6(x + 5) = 3x + 51. What is x?
  11. 11.Solve for x: 9(x + 5) = 7x + 55. What is x?
  12. 12.I think of a number, multiply it by 4 and then take away 24. The answer is 32. What is my number?
  13. 13.I think of a number, multiply it by 2 and then add 1. The answer is 57. What is my number?
  14. 14.Solve for x: 3(x + 3) = x + 19. What is x?
  15. 15.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  16. 16.8 × ? − 22 = 26
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  18. 18.12 × ? + 2 = 74
  19. 19.3 × ? − 13 = 14
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  22. 22.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  23. 23.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  24. 24.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  26. 26.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 3(x + 7) = x + 35. What is x?
  28. 28.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  30. 30.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  31. 31.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 9 and then add 38. The answer is 74. What is my number?
  33. 33.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then add 5. The answer is 63. What is my number?
  36. 36.2 × ? − 2 = 16
  37. 37.I think of a number, multiply it by 2 and then take away 27. The answer is 7. What is my number?
  38. 38.I think of a number, multiply it by 5 and then add 3. The answer is 143. What is my number?
  39. 39.I think of a number, multiply it by 7 and then take away 7. The answer is 140. What is my number?
  40. 40.Manav has 21 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?

Answer key

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

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