Question

1.Determinati numerele intregi impare si consecutive a,b si c cu proprietatea  a ori b - a ori c = 26 . 
2.Determinati numerele intregi pare si consecutive x,y  si z cu proprietatea x : (y-x)=21.

Answer 1

1) ab-ac=26
a(b-c)=26

a=k+1
b=k+3
c=k+5

(k+1)(k+3-k-5)=26

(k+1)*(-2)=26

k+1= -13

k= -13-1
k= -14

a= -14+1= -13

b= -14+3= -11

c= -14+5= -9

2)x=2k+2

y=2k+4

z=2k+6

(2k+2):(2k+4-2k-2)=21

2(k+1):2=21

k+1=21

k=21-1
k=20

x=2*20+2=40+2=42
y=2*20+4=40+4=44
z=2*20+6=40+6=46