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
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With xy = 320 and x/y = 1/5 ----> y = 5x, we have
x*(5x) = 320 -----> x^2 = 64, and so
y^2 - x^2 = (5x)^2 - x^2 = 24*x^2 = 24*64 = 1536,
x*(5x) = 320 -----> x^2 = 64, and so
y^2 - x^2 = (5x)^2 - x^2 = 24*x^2 = 24*64 = 1536,
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