Answer to Question #94918 in Algebra for nicole

Question

Arna is twice as old as Mae. In 4 years time, she will be five-thirds as old as Mae. How old is each now

with explenation pls

Answer 1

Let a be the age of Arna, m be the age of Mae.

$a=2m, \;\;a+4=\frac{5}{3}(m+4)$

Then, $2m+4=\frac{5}{3}(m+4)$

$\frac{1}{3}m=\frac{8}{3}$

m=8, a=2m=16.

Arna is 16 years old, Mae is 8 years old.