Four years ago a man was 6 times as old as his son. After 16 years he will be twice as old as his son. What is the present age of man and his son?
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33,7 35,5 36,6 34,9 |
34,9 |
Let the present age of man be M years and his son be S years. According to the question: M - 4 = 6 (S - 4) M - 4 = 6S - 24 M = 6S - 20 ------1st equation M + 16 = 2(S + 16) M + 16 = 2S + 32 -------2nd equation Putting (1) in the (2) equation 6S - 20 + 16 = 2S + 32 4S = 36 S = 9 M = 6S - 20 i.e. 54 - 20 = 34 So, the age of son is 9 years, and the age of father is 34 years |