Question 268349
{{{k}}} = Kathy's age now
{{{b}}} = Bill's age now
(1) {{{k = b - 6}}}
(2) {{{b - 12 = 2*(k - 12)}}}
(2) {{{b - 12 = 2k - 24}}}
(2) {{{2k - b = 12}}}
From (1)
(1) {{{-k + b = 6}}}
Add (1) and (2)
{{{k = 18}}}
and
(1) {{{k = b - 6}}}
{{{18 = b - 6}}}
{{{b = 24}}}
Kathy is 18 and Bill is 24
check:
(2) {{{b - 12 = 2*(k - 12)}}}
{{{24 - 12 = 2*(18 - 12)}}}
{{{12 = 12}}}
OK