O quociente entre a soma de soma de dois numeros e um deles e igual a 3. O inverso do dobro da soma deles e igual a 1/6 quais sao os numeros?

For get the solution of this task, we must make the system of equations. First it: "The quotient between the sum of two numbers and one of them is equal to 3" Let's take two values: a and b. (a+b) / b=3 - - - it's will be first equation in our system.

and "The inverse of double the sum of them and equal to 1/6"1/2 (a+b) = 1/6 it's will be second equation in our system.

Attention at parenthesis.

System (a+b) / b=31/2 (a+b) = 1/6

by the first equation: (a+b) / b=3a+b=3ba=2b - - - we will use this equation for second equation in system

1/2 (2b+b) = 1/61/3b) = 1/63b=6b=2 and a=2b, that's mean a=1. The answer is pair (1; 2)