The two numbers whose sum is 52 and the product is maximum are 26 and 26.
Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.
We need to find the two numbers whose sum is 52 and the product is maximum.
So, the multiples of 52 are
2, 26, 4, 13,
So, here we can see that the sum of 26 to itself would be equal to 52.
26 + 26 = 52
The product is also maximum compared to others.
26 x 26 = 676
Therefore, the two numbers are 26 and 26.
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