A man is 24 years older than his son. In two years, he will be twice as old as his son. What is the current age of the son?
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To determine the current age of the son, let’s denote his age by . According to the problem, the man is 24 years older than his son, so the man’s current age is .
In two years, the son’s age will be , and the man’s age will be . The problem states that in two years, the man will be twice as old as his son. Therefore, we set up the following equation based on this information:
To solve for , first simplify the equation:
Next, isolate by subtracting from both sides:
Subtract 4 from both sides to solve for :
Thus, the current age of the son is 22 years old. This solution matches the conditions given in the problem: the man, who is 46 years old (22 + 24), will indeed be twice as old as his son in two years, as and , and .
Therefore, the current age of the son is .