Answer:
The numbers are 32 , 48
Step-by-step explanation:
Average = 40
Sum of two numbers = 40 * 2 = 80
Let one number =x
Other number = 80 - x
Product of two numbers = GCD * LCM
x*(80-x) = 16*96
80x - x² = 1536
1536 + x² - 80x = 0
x² - 80x + 1536 = 0
x² - 48x - 32x + (-32) * (-48) = 0
x (x -48x) -32 (x -48) =0
(x - 48) ( x - 32) = 0
x - 48 = 0 ; x - 32 = 0
x = 48 ; x = 32
