Among all pairs of numbers with a sum of 235, find the pair whose product is maximum

Answer 1

235/2 = 117.5

117 1/2 x 117 1/2 = 4= 13806.25 = 13806 1/4 = max product

like a square has max area for a rectangle given fixed perimeter

117x 118 = 13806 slightly< 13806 1/4

more unequal the 2 numbers the smaller their produce

exactly = gives max product