Given that two positive numbers x and y satisfy x + 4Y + 5 = XY, then the values of X and y are () A. 5，5B. 10，52C. 10，5D. 10，10

Given that two positive numbers x and y satisfy x + 4Y + 5 = XY, then the values of X and y are () A. 5，5B. 10，52C. 10，5D. 10，10

∵ x + 4Y + 5 = XY, ∵ x + 4Y = XY-5, ①, ∵ x, y are positive numbers, ∵ x + 4Y ≥ 4xy. If and only if x = 4Y, the equal sign holds. Substituting into formula ①, XY-5 ≥ 4xy, that is, xy-4xy-5 ≥ 0, the solution is t ≥ 5 or t ≤ - 1 (rounding). When ∵ x = 4Y, there is xy = 5, the solution is x = 10, y = 52, so choose B

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