Question

Media aritmetica a patru numere este 1093,75.Aflati numerele stiind ca primul numar reprezinta 75% din al doilea,al doilea 75% din al treilea si al treilea 75% din al patrulea.

Answer 1

sper sa intelegi scrisul,am facut cateva corecturi.Este necesar sa calculezi cu 4 zecimale.

Answer 2

(a+b+c+d):4=1093,75
a+b+c+d=1093,75*4
a+b+c+d=7375
$a= \frac{75}{100} *b= \frac{3}{4} *b$⇒$b= \frac{4a}{3}$
b=$\frac{75}{100}*c= \frac{3c}{4}$
$\frac{4a}{3}= \frac{3c}{4} =\ \textgreater \ c= \frac{16a}{9}$
c=$\frac{3d}{4}$
$\frac{16a}{9} = \frac{3d}{4} =\ \textgreater \ d= \frac{64a}{27}$
$a+ \frac{4a}{3} + \frac{16a}{9} + \frac{64a}{27} =7375$
27a+36a+48a+64a=7375*27
175a=199125
a=$\frac{7965}{7}$=1137,(857142)
b=$\frac{10620}{7}$=1517,(142857)
c=$\frac{14160}{7}$=2022,(857142)
d=$\frac{18880}{7}$=2697,(142857)