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?
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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(52799) (Show Source):
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.
