a+b+c=274
b:a=5 rest 7
c:b=2 rest 13
folosim teorema impartirii cu rest
b=5a+7
c=2b+13
a: -----
b: ---- ----- ----- ----- ----- --+7
c: ---- ----- ---- ---- ---- --- ---- --- ---- ---- +13 +14
sunt 16 segmente egale
274-7-13-14=240
240:16= 15(un segment)
a= 15 lei
b=5a+7=5×15+7=75+7=82 b=82 lei
c=2b+13=2×82+13=164+13=177 c=177 lei
Verificare:a+b+c=15+82+177=274