Question 1096491
1.{{{F+S=35}}}
2.{{{F*S=150}}}
From 1,
{{{F=35-S}}}
Substituting into 2,
{{{(35-S)S=150}}}
{{{35S-S^2=150}}}
{{{S^2-35S+150=0}}}
{{{(S-30)(S-5)=0}}}
Two possible solutions:
{{{S-30=0}}}
{{{S=30}}}
and
{{{S-5=0}}}
{{{S=5}}}
Checking for F,
{{{F+30=35}}}
{{{F=5}}}
Since the father must be older than the son this solution is not valid,.
.
.
{{{F+5=35}}}
{{{F=30}}}
This solution makes sense,
{{{F=30}}}
{{{S=5}}}