SOLUTION: THE PRESENT AVERAGE AGE OF A MAN AND HIS TWIN SON IS 30 YEARS. THE RATIO OF THE AGES OF THE MAN AND ONE OF HIS SONS IS 5:2 . PRESENT AGE OF THE MAN IS?

Question 1069228: THE PRESENT AVERAGE AGE OF A MAN AND HIS TWIN SON IS 30 YEARS. THE RATIO OF THE AGES OF THE MAN AND ONE OF HIS SONS IS 5:2 . PRESENT AGE OF THE MAN IS?
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.

The equations are

M + 2S = 90,     (1)   ("THE PRESENT AVERAGE AGE OF A MAN AND HIS TWIN SON IS 30 YEARS" is the same as to say M + 2S = 90)
M/S = 5/2        (2)

Equivalently

M + 2S = 90,
M = .

--->   = 90  --->  5S + 4S = 180  --->  9S = 90  --->  S = 20  --->  M =  = 50.


Answer.  Man is 50 years now. The sons (the twins) are 20 years old each.

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