Question

a+b+c=56
a:b=2 rest 7
b:c=3 rest 3
a=?
b=?
c=?

Answer 1

$a+b+c=56 \\ \\ a:b=2\ \ rest\ \ 7=>a=2b+7 \\ \\ b:c=3\ \ rest\ \ 3=>b=3c+3 \\ \\ a=2b+7=>a=2*(3c+3)+7=>a=6c+13 \\ \\ 6c+13+3c+3+c=56 \\ 10c+16=56 \\ 10c=40 \\ \\ \boxed{c=4} \\ \\ b=3*4+3 \\ \\ \boxed{b=15} \\ \\ a=2*15+7 \\ \\ \boxed{a=37}$