SOLUTION: Question: Albert is twice as old as Betty. Five years ago, Albert was twice as old as Betty. Find their present ages.

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Question 978392: Question:
Albert is twice as old as Betty. Five years ago, Albert was twice as old as Betty. Find their present ages.

Answer by ikleyn(52842) About Me  (Show Source):
You can put this solution on YOUR website!

Hello,  it looks like your condition is wrong.


Indeed,  let  a  be the Albert's age now,  and let  b  be the Betti's age now.

Then you have an equation

a = 2b,                         (1)

according to the condition.

Five years ago Albert's age was  (a-5)  and Betti's age was  (b-5).
So,  you have the second equation

a - 5 = 2*(b-5),           (2)

according to the condition.

Now,  simplify the second equation:

a - 5 = 2b - 10,
a = 2b - 5.

It contradicts to the equation  (1).

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