Question 195
Find three real numbers $a \lt b \lt c$ satisfying:
$$
\begin{aligned}
a + b + c & = 21 / 4 \\
1 / a + 1 / b + 1 / c & = 21 / 4 \\
a b c & = 1
\end{aligned}
$$
$$
\begin{aligned}
a + b + c & = 21 / 4 \\
1 / a + 1 / b + 1 / c & = 21 / 4 \\
a b c & = 1
\end{aligned}
$$