Question

HALLAR M MAS A
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Answer 1

☆ RESOLUCIÓN:

A D.P B

$\boxed{\frac{2m}{3m} = \frac{m - a}{36} = \frac{20}{m} }$

⇒Hallamos el valor de "m" :

$\frac{2m}{3m} = \frac{20}{m} \\ \frac{2}{3} = \frac{20}{m} \\ 2 \times m = 20 \times 3 \\ 2 \times m = 60 \\ m = \frac{60}{2} \\ \boxed{m = 30}$

⇒Hallamos el valor de "a" :

$\frac{2m}{3m} = \frac{m - a}{36} \\ \frac{2}{3} = \frac{30 - a}{36} \\ 2 \times 36 = 3(30 - a) \\ 72 = 90 - 30a \\ 30a = 90 - 72 \\ 3a = 18 \\ a = \frac{18}{3} \\ \boxed{a = 6}$

⇒Hallamos "m + a" :

$\boxed{m + a = 30 + 6 = 36}$

∴ RESPUESTA:

$\boxed{m + a = 36}$