Question 238610
Let {{{t}}} = Tim's age
Let {{{j}}} = Jenny's age
Let {{{e}}} = Ellen's age
given:
{{{t = (1/3)*j}}}
{{{e = (1/2)*j}}}
{{{t + j + e = 44}}}
By substitution,
{{{(1/3)*j + j + (1/2)*j = 44}}}
Multiply both sides by {{{6}}}
{{{2j + 6j + 3j = 6*44}}}
{{{11j = 264}}}
{{{j = 24}}}
and, since
{{{t = (1/3)*j}}}
{{{t = (1/3)*24}}}
{{{t = 8}}}
Tim is 8 years old
check:
{{{e = (1/2)*j}}}
{{{e = (1/2)*24}}}
{{{e = 12}}}
and
{{{t + j + e = 44}}}
{{{8 + 24 + 12 = 44}}}
{{{44 = 44}}}
OK