Problem Solving

For how many integers \(n\) is \(n + n = n\cdot n?\)

a) None
b) One
c) Two
d) Three
e) More than three.

[spoiler]OA=C[/spoiler]

Source: Veritas Prep

Hi Gmat_mission.

Let's rewrite the given expression as follows: $$n+n=n\cdot n$$ $$2n=n^2$$ $$n^2-2n=0$$ $$n\left(n-2\right)=0$$ Hence, the given equation is true when \(n=0\) and when \(n=2\).

So, there are two integers that satisfy the given equation. Hence, the correct answer is the option [spoiler]C) Two[/spoiler].

I hope it helps you. <i class="em em---1"></i>