Question

a,b€N
a+b=120
(a;b)=8
_______
a=? b=?
_________​

Answer 1

Explicație pas cu pas:

(a,b)=8 => a=x×8, b=y×8 , (x,y)=1

x×8+y×8=120 |÷8

x+y=15

Faci Tabel

x 0 15 1 14 2 13 3 12 4 11 5 10 6 9 8 7

y 15 0 14 1 13 2 12 3 11 4 10 5 9 6 7 8

(x,y) / / 1 1 1 1 / / 1 1 / / / / 1 1

x=1 => a= 1×8=8

y=14 => b= 14×8=112

x=14 =>a=14×8=112

y=1 =>b=1×8=8

x=2 => a=2×8=16

y=13 => b=13×8=104

x=13 => a=13×8=104

y=2 => b=2×8=16

x=4 =>a=4×8=32

y=11 =>b=11×8=88

x=11 =>a=11×8=88

y=4 =>b=4×8=32

x=7 =>a=7×8=56

y=8 => b=8×8=64

x=8 =>a=8×8=64

y=7 =>b=7×8=56

Answer 2

Răspuns:

Bunaa! Sper ca te-am ajutat