SOLUTION: How would i find the age to the following problem?: This year i'm 3 times as old as my little sister. However six years ago I was 5 times as old as she was. How would I find the ag

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Question 419651: How would i find the age to the following problem?: This year i'm 3 times as old as my little sister. However six years ago I was 5 times as old as she was. How would I find the age of this person?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = my age now
Let b = my sister's age now
given:
(1) +a+=+3b+
(2) +a+-+6+=+5%2A%28b+-+6%29+
----------------
Substitute (1) in (2)
(2) +3b+-+6+=+5%2A%28b+-+6%29+
(2) 3b+-+6+=+5b+-+30+
(2) +2b+=+24+
+b+=+12
and
(1) a+=+3b+
a+=+36
I'm 36 and my little sister is 12
check:
(2) +3%2A12+-+6+=+5%2A%2812+-+6%29+
+36+-+6+=+5%2A6+
30+=+30+
OK