# Question #38513

Jan 18, 2017

Kelvin is 44. Ezra is 14.

#### Explanation:

K=Kelvin, E=Erva
K is three times her, plus 2, so $K = 3E+2$
Sixteen years from now, K is two times her age, so $K + 16 = 2 \left(E + 16\right)$

Substitute the value of K from the first formula
$\left(3E+2\right) + 16 = 2 \left(E + 16\right)$
$3E+18 = 2E+32$
$3E-2 E = 32 - 18$
$E = 14$

Substitute this into the first formula ans solve for K
$K = 3 \cdot 14 + 2$
$K = 33$