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Answer:
let x and y be the two numbers
As per the condition 1
xy = 182
x = 182/y ---(1)
as per the condition 2
x + y = 27
182/y +y = 27
182 + y²/y = 27
182 + y² = 27y
y² - 27y +182 = 0
(y -13)(y-14) = 0
y = 13 or 14
if y = 13 then
x = 182/13
x = 14
if y = 14
x = 182/14
x = 13
the two numbers are 13 and 14.
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