Răspuns:
Explicație pas cu pas:
8a = 9b = 12c = k
a)
a = k/8
b = k/9
c = k/12
a + b + c = 46
k/8 + k/9 + k/12 = 46
9k/72 + 8k/72 + 6k/72 = 46
23k/72 = 46
k = 46*72/23 = 144
a = 144/8 = 18
b = 144/9 = 16
c = 144/12 = 12
____________________
b)
a*b*c = 2
k/8*k/9*k/12 = 2
k^3 = 2*8*9*12 = 2*2^3*3^2*2^2*3 = 2^6*3^3 = (2^2*3)^3 = 12^3
k = 12
a = 12/8 = 3/2
b = 12/9 = 4/3
c = 12/12 = 1
