Question

Sa se afle masurile a patru unghiuri formate in jurul unui punct, stiind ca ele sunt invers proportionale cu numerele 0,1(6); 1/7; 0,125; 0,(1)

Answer 1

a+b+c+d=360; 0,1(6)=(16-1)/90=15/90=3/18=1/6; 0,125=1/8; 0,(1)=1/9; {a,b,c,d}ip{1/6,1/7,1/8,1/9}; a/6=b/7=c/8=d/9=k; a=6k; b=7k; c=8k; d=9k; 30k=360; k=360/30=12; a=72; b=84; c=96; d=108

Answer 2

a+b+c+d=360
0,1(6)=(16-1)/90=15/90=3/18=1/6
0,125=125/1000=1/8
0,(1)=1/9
a/6=b/7=c/8=d/9=k
a=6k
b=7k
c=8k
d=9k
6k+7k+8k+9k=360
30k=360 =>k=12
=>a=72
=>b=84
=>c=96
=>d=108