Solve, 'Add two to a number and subtract twice the so obtained sum'.

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Solution

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

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