Question

Aflati nr de 3 cifre care dau acelasi rest la impartirea cu 111, 222, 333?
Va rog un raspuns complet! Multumesc

Answer 1

n:111=c1 rest r⇒n=c1x111+r⇒n-r=c1x111
n:222=c2 rest r⇒n=c2x222+r⇒n-r=c2x222
n:333=c3 rest r⇒n=c3x333+r⇒n-r=c3x333

[111,222,333]=333
n-r=333 r<111
caz 1 r=0⇒n-0=333⇒n=333
caz2 r=1⇒n-1=333⇒n=332
------------------
-----------------
caz110⇒r=110⇒n-110=333⇒n=223
numere sunt 223,224,225...333