Let the first number be x and the second number be y

As per the first condition 3x +5y =54

As per the second condition x-y =2.

Multiply the 2^nd Equation by 5 and add it to the 1^st Equation. It would give 8x =64 , that is x=8. Consequently y= 6

Hence the First Number is 8 and the Second number is 6

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