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Determinati numarul natural n, stiind ca urmatoarele propozitii sunt adevarate:
a) n/3=48/n
b) 4/(n+1)=24/30


Răspuns :


a) [tex]\frac{n}{3}[/tex]=[tex]\frac{48}{n}[/tex]

3·48=n²
144=n²=>n=[tex]\sqrt{144}[/tex]=12

b) [tex]\frac{4}{n+1}[/tex]= [tex]\frac{24}{30}[/tex]

24(n+1)=4·30
24n+24=120
24n=120-24
24n=96
n= [tex]\frac{96}{24}[/tex]=4