# Andy is twice as as as in 6 years, their ages will total 60. How is each now?

## This question seems to have been mis-typed, unsure of what to do in this situation...

Apr 15, 2017

I will assume that "Andy is twice as old as Beth, and in six years their ages will add up to $60$". Then Andy is $32$ and Beth is $16$.

#### Explanation:

Let $a$ be Andy's age and $b$ be Beth's age. Thus

$a = 2 b$

$\left(a + 6\right) + \left(b + 6\right) = 60$

The second equation can be simplified, thus

$a + b = 48$

Then with the first equation we must have $a = 2 b$, thus it is possible to substitute $2 b$ for $a$ in the simplified second equation:

$\textcolor{b l u e}{a} + b = 48$
$\textcolor{b l u e}{2 b} + b = 48$

Then

$3 b = 48$
$b = 16$
$a = 2 b = 32$