Question 1049590
the main equations are
{{{a+b+c}}}={{{55}}}
{{{a/b}}}={{{1/4}}}
{{{b/c}}}={{{2/3}}}


solution

{{{b}}}={{{4a}}} first eq

{{{12a}}}={{{2c}}} second eq
{{{6a}}}={{{c}}}
{{{c}}}={{{6a}}} second eq


{{{a+b+c}}}={{{55}}}
{{{a+4a+6a}}}={{{55}}}
{{{11a}}}={{{55}}}

{{{a}}}={{{5}}}

{{{b}}}={{{4a}}}
{{{b}}}={{{4*5}}}
{{{b}}}={{{20}}}
{{{6*5}}}={{{c}}}
{{{30}}}={{{c}}}

the three numbers are {{{a}}}={{{5}}} {{{b}}}={{{20}}} and {{{c}}}={{{30}}}

check
{{{a+b+c}}}={{{55}}}
{{{5+20+30}}}={{{55}}}
{{{25+30}}}={{{55}}}
{{{55}}}={{{55}}}


also

{{{a/b}}}={{{1/4}}}
{{{b/c}}}={{{2/3}}}


{{{5/20}}}={{{1/4}}}
{{{1/4}}}={{{1/4}}}
{{{20/30}}}={{{2/3}}}
{{{2/3}}}={{{2/3}}}

perfect