SOLUTION: three sisters ages total 62 years. the first sister is 5 years older than the second, and the second is 1/4 of the age of the third. find the age of the three sisters

Question 1011255: three sisters ages total 62 years. the first sister is 5 years older than the second, and the second is 1/4 of the age of the third. find the age of the three sisters
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the present ages of the sisters be
, , and
------------------------------
(1)
(2)
(3)
----------------------
There are 3 unknowns and 3 equations
so this is solvable
--------------------
(3)
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
and
(3)
(3)
(3)
and
(2)
(2)
(2)
Their ages are: 9.5, 14.5, and 38
check:
(1)
(1)
(1)
OK
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