Question

Suma a trei numerele rationale este 110. Det. nr. stiind ca ele sunt invers proportionale cu nr. : 0,5 ; 0,(3) si 1/6

Answer 1

a+b+c=110
a/2=b/3=c/6=k
a=2k
b=3k
c=6k
2k+3k+6k=110
11k=110 =>k=10
=>a=20
=>b=30
=>c=60

Answer 2

a=1/(0,5)m=1/(1/2)=2m
b=1/[0,(3)]m=1/(3/9)=9/3=3m
c=1/(1/6)m=6m

a+b+c=110

2m+3m+6m=110

11m=110

m=10

a=20
b=30
c=60