Question 273518
Let {{{a}}} be his age when he died
{{{a/4}}} growing up
{{{a/6}}} in college
{{{a/2}}} as a teacher
{{{6}}} yrs retired
Now I can write the equation:
{{{a/4 + a/6 + a/2 + 6 = a}}}
Multliply both sides by {{{12}}}
{{{3a + 2a + 6a + 72 = 12a}}}
{{{11a + 72 = 12a}}}
{{{a = 72}}}
He was 72 when he died
check:
{{{a/4 + a/6 + a/2 + 6 = a}}}
{{{72/4 + 72/6 + 72/2 + 6 = 72}}}
Multiply both sides by {{{12}}}
{{{3*72 + 2*72 + 6*72 + 6*12 = 72*12}}}
{{{72*(3 + 2 + 6) + 72 = 72*12}}}
Divide both sides by {{{72}}}
{{{3 + 2 + 6 + 1 = 12}}}
{{{12 = 12}}}
OK