SOLUTION: Julio is older then Gabe. The difference between their ages is 12. The sum of their ages is 84. How old is Gabe?

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Question 1118518: Julio is older then Gabe. The difference between their ages is 12. The sum of their ages is 84. How old is Gabe?

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Julio-Gabe=12
Julio+Gabe=84
2 Julio=96
Julio=48 years old
Gabe=36 years old

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Julio is older highlight%28cross%28then%29%29 than Gabe. The difference between their ages is 12. The sum of their ages is 84. How old is Gabe?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

J - G = 12     (1)    (the difference of their ages)
J + G = 84     (2)    (the sum of their ages)
------------------------------------------------------Add the two equations


2J = 12 + 84 = 96  ====>  J = 96/2 = 48.


Then from eq(2) G = 84 - 48 = 36.


Answer.  48 and 36 years.