SOLUTION: A says to B,"I am 5 times as old as you were when i was as old as you are".If the sum of their present ages of A & B=64. What are their present ages
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Question 713537: A says to B,"I am 5 times as old as you were when i was as old as you are".If the sum of their present ages of A & B=64. What are their present ages
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = A's age now
Let = B's age now
---------------------------
" when I was as old as you are "
That means when A's age was equal to
----------------
" as old as you were "
The difference in their ages is always
so, at that time, B was
-----------------
" A says to B,"I am 5 times "
A's present age, which is is
so I can say
(1)
----------------------
" the sum of their present ages of A & B = 64 "
(2)
(2)
and
(1)
(1)
(1)
(1)
By substitution:
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
A is 40 and B is 24
check:
" when I was as old as you are "
When A was 24, B had to be
"I am 5 times as old as you were"
A is
OK
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