Question

Aflati cel mai mic nr.natural care prin impartirea la 4,5,6,7 da de fiecare data restul 3.

Answer 1

x:4=a rest 3
⇒x=4a+3

x:5=b rest 3
⇒x=5b+3

x:6=c rest 3
⇒x=6c+3

x:7=d rest 3
⇒x=7d+3

x=4a+3   |
x=5b+3   |  scadem de 
x=6c+3   |  la toate 3
x=7d+3   |

x-3=4a_______⇒
x-3=5b_______⇒   (*rezulta din toate ca*)
x-3=6c_______⇒    x-3=[4,5,6,7]
x-3=7d_______⇒
x=cel mai mic _⇒

[4,5,6,7]= 2 ²×5×3×7 = 4×5×21 = 20×21 = 420

x-3=420
x=420+3
x=423