Question

suma a patru numere pare consecutive poate fi 564?

Answer 1

a+b+c+d=564
b=a+2;
c=a+4;
d=a+6;
a+a+2+a+4+a+6=564
⇒4a=564-[2+4+6]
⇒4a=564-12
⇒4a=552
⇒a=138;
⇒b=138+2⇒b=140;
⇒c=138+4⇒c=142;
⇒d=138+6⇒d=144;

Answer 2

2n+(2n+2)+(2n+4)+(2n+6)=564
8n+12=564
4*2n=552
2n=138  (ps:un nr frumos)

Deci 138,140,142 si 144 au suma 564 deci se poate.