This is to find two numbers such that the sum is 27 and the product is 92.

Let \(x + y = 27 \), such that \(xy = 92 \)

\(x = 27 - y\)

\( (27 - y) y = 92\)

\(27y - y^2 = 92\)

\(y^2 -27y + 92 = 0\)

\( (y - 23)(y - 4 ) = 0\)

\( y_1 = 4\) and \( y_2 = 23\)

\(x + 4 = 27 \)

\(x = 27 - 4 = 23 \)

The numbers are 23 and 4.