Question

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

Answer 1

a) $\frac{n}{3}$=$\frac{48}{n}$

3·48=n²
144=n²=>n=$\sqrt{144}$=12

b) $\frac{4}{n+1}$= $\frac{24}{30}$

24(n+1)=4·30
24n+24=120
24n=120-24
24n=96
n= $\frac{96}{24}$=4