SOLUTION: Peter is talking to Simon: “when I was your age, my age is double your age. When you are my age, both our ages will add up to 63.” What is the current age of Peter and Simon?

Question 1136465: Peter is talking to Simon: “when I was your age, my age is double your age. When you are my age, both our ages will add up to 63.” What is the current age of Peter and Simon?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I'll assume Peter is older
The difference in their ages never changes
I'll start at the end
(1) is constant
When Simon's age is , then Peter is
and
(2)
-------------------------------
When Peter's age was , Simon was
(3)
-------------------------
(2)
and
(3)
(3)
and
(1)
(1)
---------------------------
(2)
(2)
(2)
(2)
---------------------------
(3)
(3)
and
(1)
(1)
--------------------
Peter is 27
Simon is 18
---------------------
Check:
When Peter was Simon's age, 18 yrs, Simon was
Peter was twice Simon's age -OK
-------------------------------------
When Simon is 27, Peter will be and

OK

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