Question

Va Rog cat de repede puteti! Dau coroana!

Answer 1

{x, y, z} i.p. {2, 3, 6}
2x = 3y = 6z = k
2x = k -> x = k/2
3y = k -> y = k/3
6z = k -> z = k/6
x + y + z = 90
k/2 + k/3 + k/6 = 90 (aducem la acelasi numitor)
6k/6 = 90 -> k = 90
x = k/2 -> x = 90/2 -> x = 45
y = k/3 -> y = 90/3 -> y = 30
z = k/6 -> z = 90/6 -> z = 15

Answer 2

x, y, z i.p 2, 3, 6 =>

=>   2*x= 3*y=6*z =k =>
=>   x=k/2, y=k/3, z=k/6

k/2 + k/3+ k/6=90   acum aducem la acelasi numitor
(3k+2k+k)/6 =90     inmultim in ambii membri cu 6
6k= 90*6
k=90

x= k/2=90/2=45
y=k/3=90/3=30
z=k/6=90/6=15