SOLUTION: Amme and Becky have the same birthday. Amme is twice as old as Becky was when Amme was as old as Becky is now. If Amme is now 24 years old, how old is Becky??

Question 172442: Amme and Becky have the same birthday. Amme is twice as old as Becky was when Amme was as old as Becky is now. If Amme is now 24 years old, how old is Becky??
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Amme and Becky have the same birthday. Amme is twice as old as Becky was when Amme was as old as Becky is now. If Amme is now 24 years old, how old is Becky??
:
Let b = Becky's age; Let a = Anne's age
:
Write an equation for the statement:
"Amme is twice as old as Becky was when Amme was as old as Becky is now."
a = 2(b - (a-b))
a = 2(b - a + b)
a = 2(2b - a)
a = 4b - 2a
a + 2a = 4b
3a = 4b
:
"If Amme is now 24 years old,"; substitute 24 for a:
3(24) = 4b
72 = 4b
b =
b = 18 is Becky's age now
:
:
Check solution in the statement(the difference in their ages is 6):
" Amme is twice as old as Becky was when Amme was as old as Becky is now."
24 = 2(18 - 6)
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