# Question #334b6

Oct 26, 2017

$B = \frac{40}{3}$

$R = \frac{52}{3}$

#### Explanation:

• $B =$ Becky's Age
• $R =$Rob's Age

So

$B = 2 R - 4$

$B + R = 48$

Start by substituting. We know that

$48 - R = B$

so we can substitute that into the first equation and get

$48 - R = 2 R - 4$

Add $R$ and $4$ to both sides and you get

$52 = 3 R$

So

$R = \frac{52}{3}$

and that can be plugged back into the equation as

$B = 2 \left(\frac{52}{3}\right) - 4$

which becomes

$B = \frac{40}{3}$