Question

Sea atie ca :a/b=c/d=m/n=12 sa se afle:
A) a+c+m/b+b+n
B)a+c/b+d
C)a+c/b+d + c+m/d+n
D)a+m/b+n + a+c+m/b+d+n

Answer 1

Răspuns:

relatia de marimi direct proportionale

$\frac{a}{b}$=$\frac{c}{d}$= $\frac{m}{n}$ = k =12   $\frac{a}{b}$=k   a=k*b

$\frac{a}{b}$= 12   => a= 12b      c=12d   m=12n

inlocuim in suma si obtinem

a+c+m= 12b+12d+12n= 12(b+d+m)

a)$\frac{a+c+m}{b+d+n}$=12  

b) a+c=12(b+d)    $\frac{a+c}{b+d}$ =12

c) c+m=12(d+n)   $\frac{a+c}{b+d}$ + $\frac{c+m}{d+n}$ = 12+12= 24

d) a+m=12(b+n)   $\frac{a+m}{b+n}$ + $\frac{a+c+m}{b+d+n}$ =12+12=24