Question

Suma a trei numere este 84. Aflati numerele stiind ca sunt direct proportioonale cu 1,(4) ;1,(5) si respectiv
1,(6)

Answer 1

(a,b,c) d.p. (1,(4);1,(5);1,(6)
a=$\frac{14-1}{9} = \frac{13}{9} K$
b=$\frac{15-1}{9} = \frac{14}{9} K$
c=$\frac{16-1}{9} = \frac{15}{9} K$
a+b+c=84
$\frac{13K}{9} + \frac{14K}{9} + \frac{15K}{9} =84$
$\frac{42K}{9} =84$
42K=84x9
42K=756
K=756:42
K=18
a=$18x \frac{13}{9} = \frac{18x13}{9} = \frac{234}{9}=26$
b=$18x \frac{14}{9} = \frac{18x14}{9} = \frac{252}{9} =28$
c=$18x \frac{15}{9} = \frac{18x15}{9} = \frac{270}{9} =30$