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Answer :

To Find :-

  • The algebraic equations to solve the above problem .

Solution :-

Let ,

  • Large number = L
  • Small number = S

— According to first statement ,

  • L - S = 4
  • L - S - 4 = 0

— According to second statement ,

  • 3L + 4S = 54
  • 3L + 4S - 54 = 0 .

These equations matches with the second option b .

Option b is the correct answer.