Question 238858
Age of her car now = {{{a}}}
Age of his car now = {{{b}}}
Age of her car 3 years ago = {{{a - 3}}}
Age of his car 3 years ago = {{{b - 3}}}
given:
(1) {{{a + b = 12}}}
(2) {{{a - 3 = 2*(b - 3)}}}
---------------
from (12),
{{{a = 12 - b}}}
from (2),
(2) {{{12 - b - 3 = 2b - 6}}}
{{{3b = 15}}}
{{{b = 5}}}
and
{{{a = 12 - b}}}
{{{a = 12 - 5}}}
{{{a = 7}}}
Her car is 7 years old and his car is 5 years old