Question 152715
Remember:
Fred's score={{{F}}}
Nancy's score={{{N}}}
Tiger's score={{{T}}}
{{{F+N+T=223}}} -----------------------------> eqn 1
But,
{{{F=N+3}}},------> eq 2, Fred's score is 3 more than Nancy
and {{{T=F+7}}}----> eqn3, Tiger scored 7 more than Fred
IN eqn 2, we get {{{N=F-3}}} -------> eq 4
We put eqn 3 and eqn 4 in eqn 1:
{{{F+F-3+F+7=223}}}
{{{3F=223+3-7}}}
{{{3F=219}}} ---------> {{{cross(3)F/cross(3)=cross(219)73/cross(3)}}}
{{{F=73}}}
via eqn 4: {{{N=73-3=70}}}
via eqn 3: {{{T=73+7=80}}}
In doubt? go back eqn 1:
{{{73+70+80=223}}}
{{{223=223}}}
Thank you,
Jojo