SOLUTION: Alison is 26 years younger than her father. Her father's age will be 3 times her age in 4 years' time. how old is Alison?

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Question 1021059: Alison is 26 years younger than her father. Her father's age will be 3 times her age in 4 years' time. how old is Alison?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Alison's age now
Let +f+ = her father's age now
---------------------------
(1) +a+=+f+-+26+
(2) +f+%2B+4+=+3%2A%28+a+%2B+4+%29+
------------------------
(2) +f+%2B+4+=+3a+%2B+12+
(2) +f+-+3a+=+8+
and
(1) +f+-+a+=+26+
--------------------
Subtract (2) from (1)
(1) +f+-+a+=+26+
(2) +-f+%2B+3a+=+-8+
-------------------
+2a+=+18+
+a+=+9+
and
(1) +f+-+a+=+26+
(1) +f+-+9+=+26+
(1) +f+=+35+
--------------
Alison is 9
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check:
(1) +a+=+f+-+26+
(1) +9+=35+-+26+
(1) +9+=+9+
OK