Răspuns:
242 ; 302 ; 362
Explicație pas cu pas:
200 < x < 400
x : 4 = a rest 2 <=> x = 4a +2 => x-2 = 4a
x : 12 = b rest 2 <=> x = 12b+2 => x-2 = 12b
x : 15 = c rest 2 <=> x = 15c +2 => x-2 = 15c
cmmmc( 4 ; 12 ; 15) = 2²·3·5 = 60
4 = 2² ; 12 = 2²·3 ; 15 = 3·5
x-2 = 60 sau multiplu de 60
x - 2 = 240 => x = 242 ; x-2 = 300 => x = 302
x-2 = 360 => x = 362
x = 242 =>
242:4 = 60 rest 2
242:12 = 20 rest 2
242:15 = 16 rest 2
x = 302 =>
302:4= 75 rest 2
302:12= 25 rest 2
302:15= 20 rest 2
x = 362 =>
362:4= 90 rest 2
362:12= 30 rest 2
362:15= 24 rest 2
Numerele sunt : 242 ; 302 ; 362
