Va rog !!!!!! Dau coroana

Va Rog Dau Coroana class=

Răspuns :

3x=4y=5z=k
x=k/3
y=k/4
z=k/5
xy=k^2/12
xz=k^2/15
yz=k^2/20
Numitor comun
12=2^2 • 3
15=3•5
20=2^2 • 5
_________
cmmmc = 2^2 • 3 • 5 = 60

5k^2+4k^2+3k^2= 1200
12k^2 = 1200 => k=10
x=10/3
y=10/4=5/2
z=2