SOLUTION: A man is three times as old as (his son was at the time when [the father was twice as old as his son will be two years from now]). Find the present age of each person if the sum of
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Question 1081119: A man is three times as old as (his son was at the time when [the father was twice as old as his son will be two years from now]). Find the present age of each person if the sum of their ages now is 55 years.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the man's age now
Let the son's age now
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I'll work backwards on this.
" his son will be two years from now"
His son will be
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" when the father was twice as old as"
When the father was:
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"As old as his son was"
The difference in their ages will always be
So, at that time, the son's age was:
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"The man is three times as"
That is talking about the present age of the man
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Also given:
Multiply both sides of this equation by
and add the equations
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and
The man is 39
The son is 16
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check:
" his son will be two years from now"
His son will be
----------------------------------
" when the father was twice as old as"
When the father was:
----------------------------------
"As old as his son was"
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The father is 3 times that age:
OK
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