Question

The ratio of Tristan’s age to his mother’s age is 4:11. In 6 years the sum of their ages will be 57. How old is Tristan’s mother now?

Answer 1

Answer: 33

Explanation:

The ratio for their ages is

$4\colon11$

This can be represente like this: If the age of Tristan is 4x, the age of his mother is 11x.

So their ages Now are:

Tristan: 4x

Mother: 11x

In 6 years their ages will be:

Tristan: 4x +6

Mother: 11x +6

And we are told that the sum od this ages is 57, so:

$4x+6+11x+6=57$

We solve for x:

$\begin{gathered} 15x+12=57 \\ 15x=57-12 \\ 15x=45 \\ x=\frac{45}{15} \\ x=3 \end{gathered}$

Since x is equal to 3, we can find the age of Tristan’s mother now wich is 11x:

$11x=11(3)=33$

Answer: 33