Question

The sum of two numbers is 14. When one number is added to twice the other number, the result is 25. Find the numbers

Answer 1

Let x and y be the two numbers. We have:

$\begin{cases}x+y=14\\x+2y=25\end{cases}$

Subtract the first equation from the second to get

$y=11$

And deduce

$x+11=14 \iff x=3$

The two numbers are 3 and 11.