Question

Se considera sirul de rapoarte egale a/m=b/n=c/p. Determinati raport-ul a+b+c/m+n+p , m+n+p este deferit de 0, daca:
a) a/m=7/5 b) b/n=2/9 c) c/p=3/8

Answer 1

a) a/m=b/n=c/p=7/5
a/m=7/5⇒a=7m/5
b/n=7/5⇒b=7n/5
c/p=7/5⇒c=7p/5
a+b+c/m+n+p= (a+b+c) : (m+n+p) = (7m+7n+7p/5) · 1/m+n+p = 7(m+n+p)/5(m+n+p)= 7/5