Question

valendo 10 pontos

gabarito

D

Answer 1

Sabendo que:

$MMC(x,y)\times MDC(x,y)=x.y\\ 480\times4=60\times y\\ 1920=60y \\ y=32$
Alternativa D.

Answer 2

Propriedade do mmc e mdc:

$\boxed{\boxed{mmc(a,b)\cdot mdc(a,b)=a\cdot b,~~~a,b\in\mathbb{Z}}}$
_________________________

Temos:

$x=60,~~mmc(x,y)=480,~~mdc(x,y)=4$

Então:

$x\cdot y=mmc(x,y)\cdot mdc\cdot mdc(x,y)\\\\60\cdot y=480\cdot4\\\\1\cdot y=8\cdot4\\\\\boxed{\boxed{y=32}}$