Question 103835
let Tom be {{{x}}} years old, and Todd {{{y}}} years old

given
{{{x=6y}}}
In {{{5}}} years
{{{x=1 +4y}}}


{{{x + y + 5 = 1 + 4y + y}}}
{{{6y + y = 1 + 5y}}}
{{{7y}}} – {{{5y}}} ={{{1}}}
{{{2y }}}={{{1}}}
{{{y = 1/2}}}    Todd is {{{1/2}}} years old now

{{{x = 6(1/2)}}}
{{{x = 3}}}           Tom is {{{3}}} years old now or

Check:

In {{{5}}} years Tom will be {{{8}}} years old, and Todd {{{5(1/2)}}} years old, so
Since {{{x=1 +4y}}}

{{{x = 5+ 1+ 4(1/2)}}}
{{{x= 6 + 2}}}
{{{x = 8}}}