Question

Suma a trei nr este138.Impartind aceste nr la 5,la 6 si la 7 obtinem acelasi caturi si acelasiresturi.Determinati numerele.

Answer 1

a+b+c=138
a:5=c rest r, a = 5c+r, r<
b:6=c rest r, b = 6c+r
c:7=c rest r, c= 7c+r
inlocuiesc in prima relatie
5c+r+6c+r+7c+r=138
18c+3r=138

daca impart 138:18= 7 rest 12
daca c=7
7*18+3r=138
126+3r=138
3r=12, r=4
a=5*7+4=39
b=6*7+4=46
c=7*7+4=53
verificare 39+46+53=138