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QThe average of the ages of a man and his daughter is 34 years. If the respective ratio of their ages four years from now is 14: 5, what is daughter's present age?
ID: #4393
Problems on Ages
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Let the present ages of the man and his daughter be x and y years respectively. The average of their ages is (x + y)/2 = 34 years. Four years from now, the ages of the man and his daughter will be (x + 4) and (y + 4) years respectively. The ratio of their ages four years from now is (x + 4) : (y + 4) = 14:5. Solving these equations for x and y, we get x = 52 and y = 16 Therefore, the daughter's present age is 16 years.
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