Question

STIIND CA a/n=b/m=c/p=1/5, m, n, p NU SUNT EGALE CU 0 CALCULATI RAPORTUL a+b+c/n+m+p. REPEDE VA ROGG

Answer 1

a/n = b/m = c/p = 1/5

De aici rezulta:

n = 5a

m = 5b

p = 5c

Calculam:

(a+b+c)/(n+m+p) = (a+b+c)/(5a+5b+5c) = (a+b+c)/5(a+b+c) = 1/5

Answer 2

a / n = b / m = c / p = 1 / 5;  n,  m,  p ≠ 0

a / n = 1 / 5 ⇒   n = 5 a

b / m = 1 / 5 ⇒  m = 5 b

c / p = 1 / 5  ⇒  p = 5 c

__________________

( a + b + c ) / ( n + m + p ) = 1 / 5 → raportul

= ( a + b + c ) / ( 5 a + 5 b + 5 c ) =

= ( a + b + c ) / 5 × ( a + b + c ) =

= 1 / 5