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Let the real numbers be x and y.

The ratio of x to y is x/y = 5.

The difference between the numbers is 64:

x - y = 64

But x = 5y => 5y - y = 64 => 4y = 64 => y = 16

x = 5y => x = 5*16 => x = 80

**Therefore, the requested numbers are: x = 80 and y = 16.**

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