Question

(a,b)=18
a+b=324
________
a=?
b=?​

Answer 1

Explicație pas cu pas:

(a,b)=18 =>a=18x b=18y, (x,y)=1

a+b=324=> 18(x+y)=324 => x+y=18

=>

x=1 y=17=> a=18 b=306

x=17 y=1=> a=306 b=18

x=13 y=5=>a=234 b=90

x=5 y=13=> a=90 b=234

x=11 y=7=> a=198 b=126

x=7 y=11=> a=126 b=198