Question

Problema 3
Dau coroana

Answer 1

Răspuns:

avem numerele a,b,c,d.

a:b=2 rest 1

b:c=2 rest 1

c:d=2 rest 1;

a=2b+1

b=2c+1

c=2d+1

a+b+c+d=2b+1+2c+1+2d+1+d

stim ca b este 2c+1

2b+1=4c+2+1=4c+3

S=4c+3+2c+1+2d+1+d

S=6c+4+3d+1

stim ca c=2d+1

6c=12d+6

S=12d+6+4+3d+1

S=15d+11=2021

15d=2010

R:

d=134

c=134x2+1=269

b=269x2+1=539

a=539x2+1=1079

RASPUNS: a=1079,b=539,c=269,d=134.