Question

On solving 'Add two to a number and subtract twice the so obtained sum' we get,

• A. x-2
• B. -x+2
• C. -(x+2)
• D. x+2

Answer 1

The correct option is C

-(x+2)

Let the number be $x$.

Then, adding two to this number makes it $x+2$.

So, twice the sum becomes $2(x+2)$.

We now need to subtract $2(x+2)$ from $x+2$.

i.e., $(x+2)-2(x+2)=(x+2)-(2x+4)=x+2-2x-4=(x-2x)+(2-4)=(-x)+(-2)=-x-2=-(x+2)$