70. Find three numbers such that the product of any pair of them, increased by their sum, would be equal to 8, 15, 24, respectively.
70. We obtain the system:

$$
\begin{gathered}
x y + x + y = 8 \\
y z + y + z = 15 \\
x z + x + z = 24 \\
x = \frac{11}{4} ; y = \frac{7}{5} ; z = \frac{17}{3}
\end{gathered}
$$