Question

Determine m e n sabendo que:
m/n=7/15
m+n=88

Answer 1

$I$→ $\dfrac {m}{n} = \dfrac {7}{15}$

$II$→ $m + n = 88$

$\dfrac {m}{n} = \dfrac {7}{15}$ →$15m = 7n$ → $15m - 7n = 0$

$\left \{ {{15m - 7n = 0} \atop {m + n = 88}} \right.$

$\left \{ {{15m - 7n = 0} \atop {m + n = 88 (.7)}} \right.$

$\left \{ {{15m - 7n = 0} \atop {7m + 7n = 616}} \right.$

22m = 616
$m = \dfrac {616}{22}$
m = 28


m + n = 88
28 + n = 88
n = 88 - 28
n = 60


m = 28
n = 60

Espero ter ajudado, bons estudos!!