Question

Cel mai mic numar natural care impartit la 10, la 6 si respectiv 8 da de fiecare data rest 3. Help. Dau funda

Answer 1

n:10=c₁  r=3
n:  6=c₂  r=3
n:  8=c₃  r=3

n=10c₁+3
n=  6c₂+3
n=  8c₃+3

n-3=10c₁
n-3=  6c₂
n-3=  8c₃

10=2*5
  8=2³
  6=2*3
c.m.m.m.c=2³*3*5=120
n-3=120⇒n=123

123:10=12 r3
123:  8=15 r3
123:  6=20 r3