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A two-digit number is such that the product of the digits is 16. When 54 is subtracted from the number, the digits are interchanged. Find the number ____.

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Detailed Solution

let x be the tenth place digit and y be the unit place digit,
we get

x \times y = 16

xy-54=yx
let x=2,4,8, and we know that x>5, we get x=8
if x=8, we get y=2
hence the given number is 82.

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