SOLUTION: PLEASE HELP ME PLEASE. Trical is ten times older than his son, Algeom. In 20 years, Trical's age will be 4 more than twice Algeom's age. How old was he when Algeom was born?

Question 911303: PLEASE HELP ME PLEASE.
Trical is ten times older than his son, Algeom. In 20 years, Trical's age will be 4 more than twice Algeom's age. How old was he when Algeom was born?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
One key thing to keep in mind is
that the difference in their ages never changes
--------------------
Let = son's age now
Let = father's age now
= son's age in 20 years
= father's age in 20 years
--------------------------
(1)
(2)
------------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
The difference in their ages is
, so
the father was 27 when his son was born
-------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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