SOLUTION: i am seven times as old as you were when i was as old as you are said a man to his son. If the sum of their present ages in years is 110 then what is their present age?

Question 883776: i am seven times as old as you were when i was as old as you are said a man to his son. If the sum of their present ages in years is 110 then what is their present age?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the present age of the son
Let = the present age of the father
-------------------------------------
Note that the difference in their ages will
never change: it is
----------------------------
The father says: " when I was as old as you are "
That means when the father's age was
Back then, the son's age must have been:

--------------------------
The father says " I am 7 times as old as you were
when I was as old as you are ", so
(1)
also given:
(2)
---------------------
(1)
(1)
(1)
(1)
By substitution:
(2)
(2)
(2)
(2)
and, since
(2)
(2)
---------------
The father is 70 and the son is 40
check:
The difference

(1)
(1)
(1)
OK

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