Question

(a,b)=6 a+b=48
a=?
b=?

Answer 1

(a,b)=6 => a|6 => a=6×x

b|6 => b=6×y (x,y)=1

6x+6y=48 /:6

x+y=8

pentru x=1, y=7

x=3, y=5

x=5, y=3

x=7, y=1

=> a={6,18,30,42}

b={42,30,18,6}