Question

For two numbers, the square of their sum is 1024 and the sum of their squares is 640. What is the product of the numbers?

Let the two numbers be a and b ATQ a b 1024 So, a b 2ab 1024 Also, we have, a b 640 So, 2ab 1024 - 640 384 So, ab 384 2 192

A 140

B 192

C 120

D 200

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