SOLUTION: A teenager's age increased by 2 gives a perfect square. Her age decreased by 10 gives the square root of that perfect square. She is five years older than her brother. How old i

Question 10283: A teenager's age increased by 2 gives a perfect square. Her age decreased by 10 gives the square root of that perfect square. She is five years older than her brother. How old is her brother?
My work
N = teenager's age
N +2 -10 +5
That is about as far as I get because I do not know the next step.
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
No equation is needed here. You are given that "a teenager's age increased by 2 gives a perfect square". The only perfect square that is within two years of a teenager's age would be 16. The teenager must be 2 years less than that which would be 14. Decrease that by 10 and you have 4, which is the square root of 16. She is 5 years older than her brother, so he must be 9.

R^2 at SCC
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