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CUNOSCAND 5A +2B=36 SI. a supra 4=b supra 5= c supra12 ,determinati a, b, c

Răspuns :

Cubictan
5a+2b=36
a/4=b/5=c/12=k 
a/4=k  => a=4k
b/5=k  => b=5k
c/12=k =>c=12k
5a+2b=36
5·4k+2·5k=36
20k+10k=36
30k=36
k=36/30  [simplificam prin 6]  => k=6/5
a=4·6/5=24/5
b=5·6/5=6
c=12·6/5=72/5
Verificare :  5·24/5 +2·6=36  => 24+12=36

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