Question 1044715
Ages now are m, x, y, z.
{{{system(m=4(x+y+z),m+6=2(x+6+y+6+z+6))}}}


{{{system(m=4(z+y+z),m+6=2(x+y+z+18))}}}


the six-more-years equation:
{{{m+6=2(x+y+z)+32}}}
{{{m=2(x+y+z)+26}}}

Look now again at the system:
{{{system(m=4(x+y+z),m=2(x+y+z)+26)}}}

{{{system(m-4(x+y+z)=0,m-2(x+y+z)=26)}}}, notice variable m and a variable expression.

{{{system(m-4(x+y+z)=0,2m-4(x+y+z)=52)}}}, to use elimination method,

{{{system((2m-4(x+y+z))-(m-4(x+y+z))=52-0)}}}

{{{highlight(m=52)}}}