What is the greater of the two numbers whose product is 2048, given that the sum of the two numbers exceeds their difference by 64? Choose the correct choice from the following answers
A) 90 B) 32 C) 64 D) 70 E) of these

Rationale: "let the greater and the smaller number be g and s respectively . gs = 2048 g + s exceeds g - s by 64 i . e . , g + s - ( g - s ) = 64 i . e . , 2 s = 64 = > s = 32 . g = 2048 / s = 64 . answer : c"
Answer: C