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.
x + 26 = 2x + 4
Subtract x from both sides:
26 = x + 4
Subtract 4 from both sides:
x = 22
So, the son is currently 22 years old.
Similar Questions
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?
The sum of the ages of a father and son is 60 years. Four years ago, the father’s age was three times the age of the son. What are their present ages?
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)?
A boy is 17 years old and his sister is twice as old.When the boy is 23 years old, what will be the ageof his sister?
Rohan was 4 times as old as his son 6 years ago.After 6 years Rohan will be twice as old as his son.What is son's present age?10 years12 years14 years18 years
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.