Finding pattern- $6$ $11$ $25$

Question

Finding pattern$$ \begin{matrix} 6 & 11 & (25) \\ 8 & 6 & (16) \\ 12 & 5 & (?) \\ \end{matrix} $$ Options are : $10/12/14/16$

My attempt: $11-6=5, 5^2=25$. But it's not valid for next. $6^2-11=25$, but not valid for next.

Answer 1

An idea.

I guess the answer is $16$.

For $$a\ \ \ b\ \ \ (c),$$ the following holds :

$$(a/2)+2b=c.$$

Answer 2

We can use $$6x+11y=25\ \ \ \ (1)$$

$$8x+6y=16\ \ \ \ (2)$$

and $$12x+5y=c$$

Solve $(1),(2)$ for $x,y$