Question

40. Suma a trei numere este 1. Știind că ele sunt direct proporţionale cu 0,1;
21
5
af
umerele.

.

Answer 1

a,b,c- numerele

a+b+c=1

a/0,1=b/21=c/5=k

=> a=0,1k; b=21k; c=5k

0,1k+21k+5k=1

=> 26,1k=1

=> k=1/26,1

=> a=0,1×1/26,1=1/261

=> b=(1/26,1)×21=70/87

=> c=(1/26,1)×5=50/261

Verificre:

$\frac{1}{261} + \frac{70}{87} + \frac{50}{261} = \frac{51}{261} + \frac{70}{87} = \frac{17}{87} + \frac{70}{87} = \frac{87}{87} = 1$