# Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin age. How old are Sarah and Gavin?

Feb 25, 2018

Sarah is 40 and Gavin is 15

#### Explanation:

Let (G+25) be Sarah's age and G be Gavin's age
$S = G + 25$
$G + 25 = 2 \left(G + 10\right)$
$G = 15$
$S = 40$

Feb 25, 2018

Below.

#### Explanation:

Let Garvin's age be $= x$ and Sarah's age $= x + 25$

After $10$ years

Garvin's age $= x + 10$
Sarah's age $= 2 \left(x + 10\right) \mathmr{and} x + 35$

According to the question

$2 \left(x + 10\right) = x + 35$

$2 x + 20 = x + 35$

$2 x - x = 35 - 20$

$x = 15$

Therefore, Gavin's age is $15$ years and Sarah's age is $40$ years.