Question

Determinati cel mai mic numar natural care impartit pe rand la 24,48,40 da de fiecare data restul 17 si caturi nenule

Answer 1

1)  (restul = 17 )
Numarul cautat este:
cmmmc (24, 48, 40) + 17
24 = 2³ * 3
48 = 2^4 * 3
40 = 2³ * 5
cmmmc + 17 = 2^4 * 3 * 5  + 17 = 240 + 17 = 257

Answer 2

x-cel mai mic nr. natural

x:24=c₁ rest 17
x=24*c₁ +17
x=M24+17

x:40=c₂ rest 17
x=40*c₂ +17
x=M40 +17

x:48=c₃ rest 17
x=48*c₃ +17
x=M48+17

x=[M24;M40;M48]*c+17

-se cere cel mai mic nr. natural,deci c=1

24= 2² * 3
40= 2³ * 5
48= 2⁴ * 3

x= 2⁴ * 3 * 5 +17
x= 16*15+17
x= 240+17

x= 257