Question
Jan Villaroel
Topic: Algebra Posted 1 year ago
A father is 20 years older than his son. In 5 years, he will be 3 times as old. How old is the son now?

A father is 20 years older than his son. In 5 years, he will be 3 times as old. How old is the son now?


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Koala Tutor
Oct 18, 2023
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Let's denote the son's age as x.
According to the problem, the father's age is 20 years older than the son; therefore, the father's age is x + 20.
In 5 years, the son's age will be x + 5 and the father's age will be (x + 20) + 5 = x + 25.
According to the problem, in 5 years the father will be 3 times as old as the son, meaning that x + 25 = 3(x + 5).
Expanding the equation, we get x + 25 = 3x + 15.
Rearranging the equation, we get 2x = 10, and thus x = 10/2 = 5.
Therefore, the son is currently 5 years old. Answer: \boxed{5}.

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