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Let the numbers be x and y such that x > y.
Then, according to the question,
x - y = 8
x = y + 8 . . . (i)
y/x = 5/7
7y = 5(y + 8)
7y = 5y + 40
2y = 40
y = 20
Now substituting y = 20 in (i)
x = 20 + 8
x = 28