👤
Allybarbutu
a fost răspuns

Vreau REZOLVAREA VA ROOOG!!DAU COROANA

Vreau REZOLVAREA VA ROOOGDAU COROANA class=

Răspuns :

Iakabcristina2
2,(6)=2 intregi 6/9=24/9=8/3
2 intreg 1/3=7/3
3a=b/3=3c/8=3d/7=k
a=k/3
b=3k
c=8k/3
d=7k/3
k/3 + 3k + 8k/3 + 7k/3 = 25
k+9k+8k+7k=75
25k=75 =>k=3
=>a=1
=>b=9
=>c=8
=>d=7
=>Anul 1987
[tex]\frac{a}{\frac{1}{3}}=\frac{b}{3}=\frac{c}{2\frac{6}{9}}=\frac{d}{\frac{7}{3}}\\ \frac{a}{\frac{1}{3}}=\frac{b}{3}=\frac{c}{2\frac{2}{3}}=\frac{d}{\frac{7}{3}}\\ \frac{a}{\frac{1}{3}}=\frac{b}{3}=\frac{c}{\frac{8}{3}}=\frac{d}{\frac{7}{3}}|\cdot\frac{1}{3}\\ \frac{a}{1}=\frac{b}{9}=\frac{c}{8}=\frac{d}{7}\\ a=k;b=9k;c=8k;d=7k\\ a+b+c+d=25\\ k+9k+8k+7k=25 \\ 25k=25\\ k=1\\ a=1;b=9;c=8;d=7\\ \overline{abcd}=1987 [/tex]

Alte intrebari