SOLUTION: My father is currently 13 times as old as my daughter. Next year, my father will be 11 times as old as my daughter. How many years old is my father now?

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Question 763410: My father is currently 13 times as old as my daughter. Next year, my father will be 11 times as old as my daughter. How many years old is my father now?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +f+ = my father's age now
Let +d+ = my daughter's age now
------------
given:
(1) +f+=+13d+
(2) +f+%2B+1++=+11%2A%28+d+%2B+1+%29+
------------------------
(2) +f+%2B+1+=+11d+%2B+11+
(2) +f+-+11d+=+10+
Substitute (1) into (2)
(2) +13d+-+11d+=+10+
(2) +2d+=+10+
(2) +d+=+5+
and, since
(1) +f+=+13d+
(1) +f+=+13%2A5+
(1) +f+=+65+
My father is 65
check:
(2) +f+%2B+1++=+11%2A%28+d+%2B+1+%29+
(2) +65+%2B+1++=+11%2A%28+5+%2B+1+%29+
(2) +66+=+11%2A6+
(2) +66+=+66+
OK