Question

Determinati cel mai mic nr nat care impartit pe rand la 25,20,12 de resturile 24,19,11

Answer 1

x:25=c1 rest 24
x=c1 * 25 +24
x=M25+25-1
x=M25-1

x:20=c2 rest 19
x=c2 * 20 +19
x=M20+20-1
x=M20-1

x:12=c3 rest 11
x=c3 * 12 +11
x=M12+12-1
x=M12-1

x=[M25;M20;M12] * c-1

c=1 ---> deoarece se cere cel mai mic numar natural

25=5²
20=2² * 5
12=2² * 3

x= 5² * 2² * 3 * 1 - 1
x=25*4*3 - 1
x=100*3 -1
x=300-1
x=299