Răspuns :
a+b = 192
a:b = 11 r 12
a = 11b + 12
11b+b + 12 = 192
12b = 192 - 12
12b = 180
b = 180 : 12 = 15
a = 11 × 15 + 12 = 177
a:b = 11 r 12
a = 11b + 12
11b+b + 12 = 192
12b = 192 - 12
12b = 180
b = 180 : 12 = 15
a = 11 × 15 + 12 = 177
a+b=192
a:b=11 rest 12
Teorema imparcitii cu rest=>a=11b+12
11b+12+b=192<=>12b=180=>b=15
a=11b+12=11*15+12=165+12=177=>a=177