# Twice Beyonce's age plus Jay-Z's age is 101. Beyonce's age plus 3 times Jay-Z's age is 413. How old is Beyonce?

May 19, 2018

$B = - 22$

#### Explanation:

We can solve this using a system of equations. If we call Beyonce's age $B$ and Jay-Z's age $J$, then we have:

$2 B + J = 101$
$B + 3 J = 413$

If we first multiply the top by 1 and the bottom by 2, we can solve for $J$, and we can then use this to obtain $B$:

$2 B + J = 101$
$2 B + 6 J = 826$

Subtracting the two, we find that $J = 145$, and when we substitute this into one of the original equations, we get that $B = - 22$.