Question

Determinati numerele rationale pozitive a,b,c,stiind ca:
a/2=b/3=c/5 si a+b+c=15.

Answer 1

Răspuns:

a/2=b/3=c/5=(a+b+c)/(2+3+5)=15/10=3/2

a=3

b=9/2

c=15/2

Answer 2

a+b+c=15

a/2=b/3=c/5=k

a=2k

b=3k

c=5k

2k+3k+5k=15

10k=15

k=15/10

k=3/2

a=2×3/2

a=3

b=3×3/2

b=9/2

c=5×3/2

c=15/2