A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Question
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Solution
Let's denote the son's current age as x.
According to the problem, the man is 24 years older than his son, so the man's current age is x + 24.
In two years, the son will be x + 2 years old and the man will be x + 24 + 2 = x + 26 years old.
The problem states that in two years, the man's age will be twice the age of his son. So we can set up the equation:
x + 26 = 2(x + 2)
Solving this equation will give us the son's current age.
First, distribute the 2 on the right side of the equation:
x + 26 = 2x + 4
Then, subtract x from both sides:
26 = x + 4
Finally, subtract 4 from both sides:
22 = x
So, the son is currently 22 years old.
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