#### Answer

age of Charles Coburn(Uncle)is \[60\] and age of woman is \[20\].

#### Work Step by Step

Let \[x\] be the current age of Charles Coburn(Uncle).
Let \[y\] be the current age of woman.
\[x=3y\] …… (1)
When Uncle replies “Ah, but in 20 years’ time I shall only be twice be her age. It means:
\[x+20=2\left( y+20 \right)\] ...... (2)
Now In equation (2)put value of \[x\] from equation(1):
\[\begin{align}
& 3y+20=2\left( y+20 \right) \\
& 3y+20=2y+40 \\
& y=20
\end{align}\]
Put \[y=20\]in equation (1);
\[\begin{align}
& x=3\left( 20 \right) \\
& x=60 \\
\end{align}\]
So, age of Charles Coburn(Uncle)is \[60\] and age of woman is \[20\].
Hence, age of Charles Coburn(Uncle)is \[60\] and age of woman is \[20\].