If the ratio of two numbers is 1:5 and their product is 320, then the difference between the squares of these two numbers is:
1536
Let the two numbers be x and 5x. Their product is given by:
x * 5x = 320,
5x^2 = 320,
x^2 = 64.
The difference between the squares is:
(5x)^2 - x^2 = 25x^2 - x^2 = 24x^2 = 1536.
Therefore, the difference between the squares is 1536.
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