a+b+c=232 ; a:b= cat 14 rest 5 ⇒conf. teoremei impartirii cu rest a=14b+5
b:c= cat 7 rest 1 ⇒b=7c+1, 7c=b-1, c=(b-1)/7, inlocuim a si c in suma
14b+5+b+(b-1)/7=232, numitor comun 7 ⇒98b+35+7b+b-1=1624, 106b=1624+1-35=1590
b=1590/106=15, a=14*15+5=210+5=215, c=(15-1)/7=14/7=2