The age of a man is 3 times that of his son .15 years ago, the man was 9 times as old as his son. What will be the age of the man after 10 years?
Question
The age of a man is 3 times that of his son .15 years ago, the man was 9 times as old as his son. What will be the age of the man after 10 years?
Solution
Let's denote the current age of the son as x.
According to the problem, the current age of the man is 3x.
15 years ago, the son was x - 15 and the man was 3x - 15.
According to the problem, at that time, the man was 9 times as old as his son. So, we can write the equation: 3x - 15 = 9(x - 15).
Solving this equation, we get x = 18.
So, the current age of the man is 3x = 3*18 = 54.
In 10 years, the man will be 54 + 10 = 64 years old.
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