Problem Solving

Hi alanforde800Maximus,

I assume that the question is meant to ask "for how many integers N is N+N = (N)(N)?"

In simpler terms, "which number, when added to itself, equals the square of itself?"

This question can be solved with a bit of 'brute force'

0+0 = (0)(0)
2+2 = (2)(2)

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

alanforde800Maximus wrote:For how many integers n is n + n = (n)(n) ?

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

When you get a chance, please edit the question so that it reads as Rich suggests.

Another approach:

Given: n + n = (n)(n)
Simplify: 2n = n²
Subtract 2n from both sides to get: n² - 2n = 0
Factor: n(n - 2) = 0
So, EITHER n = 0 OR n = 2
There are two solutions.

Answer: C

RELATED VIDEO
- Solving quadratic equations: https://www.gmatprepnow.com/module/gmat ... /video/964

Cheers,
Brent

alanforde800Maximus wrote:For how many integers n is n + n = n.n ?

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

Simplifying the equation, we have:

2n = n^2

n^2 - 2n = 0

n(n - 2) = 0

n = 0 or n = 2, so there are two possible integer values for n.

Answer: C