Mark M. answered 12/15/14
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Retired math prof. Very extensive Precalculus tutoring experience.
Let x = Nick's age
y = Sammy's age
x + y = 29
x = 2y + 2
Replace x by 2y + 2 in the first equation to obtain (2y + 2) + y = 29.
So, 3y + 2 = 29
3y = 27
y = 9
Sammy is 9 years old and Nick is 20 years old.