SOLUTION: Obie told Beth I am twice as old as you were when I was as old as you are. Their ages told 49. How old is each.

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Question 160921: Obie told Beth I am twice as old as you were when I was as old as you are. Their ages told 49. How old is each.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Obie told Beth I am twice as old as you were when I was as old as you are. Their ages told 49. How old is each.
:
Let A = O's age now
Let B = Beth's age now
:
A + B = 49
B = (49-A)
:
Write an equation for this statement:
"Obie told Beth I am twice as old as you were when I was as old as you are."
A = 2(B - (A-B))
A = 2(B - A + B
A = 2(2B-A)
A = 4B - 2A
A + 2A = 4B
3A = 4B
Substitute (49-A) for B
3A = 4(49-A)
3A = 196 - 4A
3A + 4A = 196
A = 196%2F7
A = 28 yrs old is O's age
Then
49 - 28 = 21 yrs is B's age
:
See if that fits the statement:
Obie told Beth I am twice as old as you were when I was as old as you are.
28 = 2(21 - 7)
28 = 2(14)