Question

Suma a 2 nr este 173.Impartind nr mai mare la sfertul nr mai mic obtinem catul 24 si restul 5.Determinati numerele

Answer 1

$a+b=173 \\\\ a:\frac{b}{4}=24 \ rest \ 5 \\\\ a=\frac{b}{4}*24+5 \\\\ \boxed{a=6b+5 } \\\\\\ a+b=173 \\\\ 6b+5+b=173 \\\\ 7b=173-5 \\\\ 7b=168 \\\\ \boxed{\boxed{b=\frac{168}{7}=24}} \\\\ a=6*24+5 \\\\ a=144+5 \\\\ \boxed{\boxed{a=149}}$