Question

Se considera sirul de rapoarte egale a/m = b/n = c/p. Determinati raportul a + b + c/m+n+p, m + n + p nu este egal cu 0, stiind ca:

a) b/n = 2/9

b) c/p = 3/8

Answer 1

a) b/n = 2/9

Dar a/m = b/n = c/p = 2/9, de unde:

a = 2m/9, b = 2n/9, c = 2p/9

Atunci:

(a + b + c)/(m + n + p) = (2m/9 + 2n/9 + 2p/9)/(m + n + p) = 2/9 × (m + n + p)/(m + n + p) = 2/9

b) c/p = 3/8

Dar a/m = b/n = c/p = 3/8, de unde:

a = 3m/8, b = 3n/8, c = 3p/8

Atunci:

(a + b + c)/(m + n + p) = (3m/8 + 3n/8 + 3p/8)/(m + n + p) = 3/8 × (m + n + p)/(m + n + p) = 3/8