Answer :

Let the smaller of the two numbers be x.

The difference between the two numbers is 28.


The bigger number = x + 28.


The sum of the two numbers = 58.


According to the given condition,


x + (x + 28) = 58


x + x + 28 = 58


2x + 28 = 58


2x = 58 – 28 (Transposing 28 to RHS)


2x = 30


x = (Transposing 2 to RHS)


x = 15


The smaller of the two numbers = x = 15


The bigger of the two numbers = x + 28 = 15 + 28 = 43


The two numbers are whose sum is 58 and difference is 28 are 15 and 43.


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