Question 1060925
{{{g}}}= number of girls in the class
{{{b}}}= number of boys in the class
{{{g+b=38}}} , because the class has 38 students (and we are supposed to understand that each student is either a boy or a girl).
{{{b=3g-6}}} , because " The number of boys in the class is six less than three times the number of girls in the class."
The system of equations is
{{{system(g+b=38,b=3g-6)}}} .
Substituting {{{3g-6}}} for {{{b}}} in {{{g+b=38}}} we get
{{{g+3g-6=38}}} --> {{{4g=38+6}}} --> {{{4g=44}}} --> {{{g=44/4}}} --> {{{highlight(g=11)}}} .
Substituting {{{1 fro {{{g}}} in {{{b=3g-6}}}  , we get
{{{b=3*11-6}}} --> {{{b=33-6}}} --> {{{highlight(b=27)}}} .
The product of the digits in {{{27}}} is {{{2*7=highlight(14)}}} .