DATE:
DATE:
Fie a,b si c numerele date.
(a,b,c) d.p. {2,3,5}
[tex]M a (a,b) = a + 5 [/tex]
CONCLUZIE:
a=? ; b=? ; c=?
REZOLVARE:
[tex] \frac{a}{2} = \frac{b}{3} = \frac{c}{5} = k =\ \textgreater \ a= 2k ; b= 3k ; c=5k.
\\ M a (a,b) = \frac{a+b}{2} \\ a+5= \frac{a+b}{2} \\ 2k + 5 = \frac{2k+3k}{2} \\ 2k + 5 = \frac{5k}{2} \\ 4k + 10 = 5k \\ 5k - 4k = 10 \\ k=10. \\ \\ a=2k=2x10=20 \\ b=3k=3x10=30 \\
c=5k=5x10=50.
[/tex]
Sper ca v-am putut ajuta! Mult succes in continuare!