Question 107366
Call the numbers a and b
{{{a = 4b}}}
{{{1/a + 1/b = 5/12}}}
multiply both sides by {{{ab}}}
{{{b + a = (5/12)*ab}}}
{{{b + 4b = (5/12)*4b*b}}}
{{{5b = (5/12)*4b^2}}}
{{{5 = (5/12)*4b}}}
{{{4b = (12/5)*5}}}
{{{4b = 12}}}
{{{b = 3}}}answer
{{{a = 4b}}}
{{{a = 12}}}answer
check
{{{1/a + 1/b = 5/12}}}
{{{1/12 + 1/3 = 5/12}}}
{{{1/12 + 4/12 = 5/12}}}
{{{5/12 = 5/12}}} OK