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
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
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" when I was as old as you are "
That means when A's age was equal to
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" as old as you were "
The difference in their ages is always
so, at that time, B was
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" A says to B,"I am 5 times "
A's present age, which is is
so I can say
(1)
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" 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
