Question

Suma a 3 nr naturale este 345 .Daca impartim primul nr al al doilea si pe al doilea la al treilea obtinem de fiecare data catul 5 si restul 5. Aflati nr.

Answer 1

a+b+c=345
a:b=5 rest 5,a=5b+5
b:c=5 rest 5,b=5c+5
a,b,c=?
daca a=5b+5
si b=5c+5
inseamna ca a=5X(5c+5)+5
a=25c+25+5
a=25c+30
inlocuim in prima relatie
25c+30+5c+5+c=345
31c+35=345
31c=345-35
31c=310
c=310:31
c=10
b=10X5+5
b=55
a=10X25+30
a=280

Answer 2

a+b+c=345
Fie a b c cele 3 numere

a:b=5 r 5
a=5*b+5
a=5b+5

b:c=5 r 5
b=5*c+5
b=5c+5

5(5a+5)+5c+5+c=345
25a+6c=315/6
19a+c=309/19
a+c=290

a+c+b=345
290+b=345
b=55

55=5c+5
5c=50/5
c=10

a=5*55+5
a=280