A person is 15 times as old as his son. Five years later, he will be five times as old as his son will be. What is the present age of the person (in years)?
Question
A person is 15 times as old as his son. Five years later, he will be five times as old as his son will be. What is the present age of the person (in years)?
Solution
Let's denote the present age of the son as x and the present age of the person as 15x (since the person is 15 times as old as his son).
According to the problem, five years later, the person will be five times as old as his son will be. This can be written as:
15x + 5 = 5(x + 5)
Solving this equation will give us the present age of the son, and multiplying it by 15 will give us the present age of the person.
Let's solve it:
15x + 5 = 5x + 25 15x - 5x = 25 - 5 10x = 20 x = 20 / 10 x = 2
So, the son is 2 years old now. Therefore, the person is 15 * 2 = 30 years old.
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