a man is 24 yrs older than his son.after 10 yrs he wili be 3 times as old as his son. how old is the son?
x+24 + 10 = 3(x+10)
To solve this problem, we can represent the ages of both the man and his son as variables.
Let's say the son's current age is x years. According to the problem, the man is 24 years older than his son. So, the man's current age can be represented as (x + 24) years.
The problem also states that in 10 years, the man will be 3 times as old as his son. Therefore, after 10 years, the man's age will be (x + 24) + 10 years, and the son's age will be x + 10 years.
Now, we can set up an equation based on the above information:
(x + 24) + 10 = 3(x + 10)
Let's solve this equation step by step:
x + 24 + 10 = 3x + 30
x + 34 = 3x + 30
Next, we'll simplify the equation:
34 - 30 = 3x - x
4 = 2x
Finally, we can solve for x:
2x = 4
x = 4/2
x = 2
Therefore, the son is currently 2 years old.