Question

Numerele a si b sunt direct proportionale cu 2 si 3. Numerele b si c sunt direct proportionale cu numerele 6 si 8. Determinati numerele stiind ca suma numerelor a si c este egala cu 180.

Answer 1

a/2=b/3
b/6=c/8
Avem a/2=b/3= 2b/6=2c/8
adica
a/2=c/4
a=c/2
c=2a
Dar a+c=180
a+2a=180
3a=180
a=60
c=2a=120
b=3a/2=3*60/2=3*30=90

Answer 2

a/2=b/3=k
a=2k
b=3k
b/6=c/8
8b=6c
c=8b/6=8•3k/6=4k
a+c=180
2k+4k=180
6k=180
k=30
a=60
b=90
c=120