Question

Suma a daua numere este 74 . Impartind dublul primului numar la celalalt,obtinem catul 5 rest 1.Aflati numerele.

Answer 1

a+b=74
2a:b=5+r1     2a=5b+1    a=(5b+1)/2
(5b+1)/2+b=74
(5b+1+2b)/2=74
7b+1=74*2
7b=148-1
b=147:7
b=21
a=(5*21+1)/2=106:2=53       a=53

Answer 2

x+y=74
2x:y=5 rest 1 => 2x=5y+1 => x=(5y+1):2
Dar x+y=74 =>(5y+1):2 + y=74
5y+1=148-2y
3y=147
y=147/3=49
x=(5*49+1):2
x=123