A number is multiplied by 2 and 2 is added to the product their sum is divided by 2, then the quotient is 2. The required number is

Multiplied by $\text{'}2\text{'}$  and $\text{'}2\text{'}$  is added to the product $=2x+2$

The sum is divided by $\text{'}2\text{'}\text{is}\frac{2x+2}{2}$

As per the problem this result is equal to 2.

$\frac{2x+2}{2}=2$

$2x+2=2\times 2$

$2x+2=4$

$2x=4-2$

$2x=2$

By dividing by $2$

$\frac{2x}{2}=\frac{2}{2}$

$x=1$