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Media aritmetica a doua numere este 42 .Aflati numerele ,stiind ca un numar reprezinta 2 supra 5.

Răspuns :

a+b/2=42
a+b=84
a=2b/5
2b/5+b=84
2b/5+5b/5=420/5
2b+5b=420
7b=420
b=60
a=84-60
a=24
a=[tex] \frac{2}{5} [/tex]
ma=42

[tex] \frac{a+b}{2} =42[/tex]
[tex] \frac{ \frac{2}{5}+b }{2} [/tex]=42
[tex] \frac{2}{5} +b=42*2 \\ \frac{2}{5} +b=84 \\ b=84- \frac{2}{5} \\ b= \frac{418}{5} [/tex]