Question

Aflați numerele naturale x,y,z care verifica relația x/3=y/4=6/z

AM NEVOIE URGENT VA ROG (dau coroana)

Answer 1

$\frac{x}{3} = \frac{y}{4} = \frac{6}{z} = k \\ \implies \: x = 3k\\ \implies \: y = 4k \\ \implies \: z = \frac{6}{k} \\ \\ \iff \frac{3k}{3} = \frac{36}{k} \iff \:\small k {}^{2} = 36\iff \: k = 6 \\ \sout{ - - - - - - - - - - - - - - - - - - }\\ x = 3k = 18 \\ y = 4k = 24 \\ z = \tfrac{6}{k} = 1$