Question

21.aflați numerele naturale m si n,știind că
a) m+n=24 si (m, n)=8
b)m+n=45 si (m, n)=9
URGENT!​

Answer 1

Răspuns:

SALUT

a)m+n=24

8a+8b=24

8(a+b)=24 |:8

a+b=3

a=1;b=2

a=8*1=8=>m

b=8*2=16=>n

m+n=8+16=24

b)m+n=45

9a+9b=45

9(a+b)=45 |:9

a+b=5

a=2 ; b=3

a=9*2=18=>m

b=9*3=27=>n

m+n=18+27=45