SOLUTION: « I'm three times as old as you were when I was as old as you are now. When you will be my age, together we will be 13370 years old. » How old is Gandalf?

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Question 1073359: « I'm three times as old as you were when I was as old as you are now. When you will be my age, together we will be 13370 years old. » How old is Gandalf?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I thought 13370 was mistyped. But, if not:
Which one is Gandalf?
Where it says " I am ", I will call the present age +a+
Where it says " you " , I will call the present age +b+
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" I'm three times as old as you were when I was as old as you are now."
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" as you are now "
That would be +b+
" when I was as old as you are now."
I'll make the assumption that "I" am older than "you"
The difference in their ages is always +a+-+b+
So I was +a+-+%28+a+-+b+%29+
----------------------------
" as you were "
That would be:
+a+-+%28+a+-+b+%29+-+%28+a+-+b+%29+=+a+-+2%2A%28+a+-+b+%29+
-----------------------------------------
" I'm three times as old "
+a+=+3%2A%28+a+-+2%2A%28+a+-+b+%29+%29+
+a+=+3%2A%28+a+-+2a+%2B+2b+%29+
+a+=+3%2A%28+2b+-+a+%29+
+a+=+6b+-+3a+
+6b+=+4a+
+b+=+%282%2F3%29%2Aa+
and
+a+%2B+b+=+13370+
+a+%2B+%282%2F3%29%2Aa+=+13370+
+%28+5%2F3%29%2Aa+=+13370+
+a+=+%28+3%2F5+%29%2A13370+
+a+=+8022+
I am 8022
--------------------------
check answer:
+b+=+%282%2F3%29%2A8022+
+b+=+5348+
----------------------------
" when I was as old as you are now. "
That's when +a+=+5348+
------------------------------------
" as old as you were "
Your age would have been:
+5348+-+%28+8022+-+5348+%29+
+5348+-+2674+=+2674+
-------------------------------
" I'm three times as old as you were "
+8022+=+3%2A2674+
+8022+=+8022+
OK
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DEFINITELY get another opinion on this.
I could easily be wrong.
Review the logic and the math