555 invers proportionale cu 5,6,4 ​

Răspuns:

Consideram partile a,b,c. Daca numarul 555 se imparte in parti invers proportionale cu 5,6,4, atunci partile adunate este a+b+c=555.

{a,b,c} ip {5,6,4}

a=k/5

b=k/6

c=k/4

k/5+k/6+k/4=555

12k/60+10k/60+15k/60=555

(12k+10k+15k)/60=555

37k/60=555

37k=555*60

37k=33300

k=33300/37

k=900

a=k/5=900/5=180

b=k/6=900/6=150

c=k/4=900/4=225

Verificare:

a+b+c=555

180+150+225=555

555=555