SOLUTION: There is an age difference of 14 years between Pete and Anna. Six years ago, Anne was twice as old as Peter. How old is each person today?

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Question 756418: There is an age difference of 14 years between Pete and Anna. Six years ago, Anne was twice as old as Peter. How old is each person today?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
P for Pete
A for Anna

Anna seems to be older than Pete.
A-P=14+
and
%28A-6%29=2%28P-6%29
That is the system initially.

A-6=2P-12
A-2P=6-12
A-2P=-6
A=2P-6

Substitute the A in the first equation to solve for P, although this is not the only method you may use.
(2P-6)-P=14
2P-6-P=14
P-6=14
P=8, so A=6

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

There is an age difference of 14 years between Pete and Anna. Six years ago, Anne was twice as old as Peter. How old is each person today?

Peter is currently highlight_green%2820%29 years-old and Anna is currently highlight_green%2834%29 years-old

You can do the check!!

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