SOLUTION: Jack's father is 29 years old when jack was born. This year, the sum of their ages is 53. Find their ages.

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Question 908429: Jack's father is 29 years old when jack was born. This year, the sum of their ages is 53. Find their ages.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jack's age now
Let +f+ = father's age now
---------------------------
Note that the difference in their ages
will always be +29+ years
so, I can say:
+f+%2B+j+=+53+
+f+-+j+=+29+
--------------
Add the equations:
+2f+=+82+
+f+=+41+
and, since
+f+%2B+j+=+53+
+41+%2B+j+=+53+
+j+=+12+
The father is 41
Jack is 12