Question

Determinati ca a,b apartin N , a>b , a+b=78 si (a,b)=13

Answer 1

(a,b)=13 conduce la a=13x
b=13y
fiind vb de cmmdc
a+b=3x+3y=13(x+y)=78
x+y=78:13
x+y=6
x=1
y=5
a=13 si b=65
x=5
y=1
a=65
b=13
x=2
y=4
a=26
b=52
x=4
y=2
a=13×4
a=52
b=26
cum a>b
S={52,26);(65,13)}