Question

Fie a, b = nr naturale
a+b = 210
(a,b) = 30 [adica cmmdc]
a=?
b=?

Answer 1

Explicație pas cu pas:

a+b = 210

(a,b) = 30, a =30 x, b= 30 y (×,y)= 1

30x ×30y = 210/:30

x+y = 7

x =1 , a = 30x1=30

y=6, b= 30 x6 = 180

x= 2, a= 30x2 = 60

y = 5, b = 30 x5 = 150

x = 3, a = 30x3 = 90

y = 4, b = 4x30 = 120

x=6, a = 3×60 =180

y = 1, b = 30 x1= 30

x=5, a = 30 x5 = 150

y = 2, b = 30 x2 = 60

x= 4, a = 30 x4 = 120

y = 3, b= 30x 3 = 90