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a+b+c= 77, a-b=b-c, c=b/2, a=?, b=?, c=?


Răspuns :

a+b+c=77

a-b=b-c

b=2c, deci b-c=2c-c=c=a-b, adica

a=b+c=2c+c=3c si inlocuim in prima relatie:

3c+2c+c=77
6c=77
c=[tex] \frac{77}{6} [/tex]

b=2*[tex] \frac{77}{6} [/tex]=[tex] \frac{77}{3} [/tex]

a=3*[tex] \frac{77}{6} [/tex]=[tex] \frac{77}{2} [/tex]
a+b+c=77
a-b=b-c=2c-c=c=a-b


c=b/2,b=2c
a=b+c=2c+c=3c
3c+2c+c=77
6c=77
c=77/6
b=2x77/6=77/3
a=3x77/6=77/2