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umerele naturale x,y si z sunt direct proportionale cu 3,4 si 5 aflati numerele stiind ca x+2y+3z=78

Răspuns :

x/3 = y/4 = z/5 = k => x= 3k , y= 4k  si z = 5k

Inlocuim : 3k + 8k + 15k = 78 => 26k=78 => k = 3

x= 9

y= 12

z= 15

x/3=y/4=z/5=k
x+2y+3z=78
x=3k
y=4k
z=5k
3k+2*4k+3*5k=78
3k+8k+15k=78
26k=78
k=78/26
k=3
x=3*3=9
y=4*3=12
z=5*3=15