Answer:
Kevin is now 24 years old.
Step-by-step explanation:
Given:
Kevin is 3 times as old as Daniel.
4 years ago, Kevin was 5 times as old as Daniel.
Now, to find the age of Kevin now.
Let the age of Daniel be [tex]x.[/tex]
As given, Kevin is 3 times as old as Daniel.
Thus, the age of Kevin is [tex]3x.[/tex]
So, as per given 4 years ago Kevin was 5 times as old as Daniel.
According to question:
[tex]3x-4=(x-4)\times 5[/tex]
[tex]3x-4=5x-20[/tex]
Adding both sides by 20 we get:
[tex]3x+16=5x[/tex]
Subtracting both sides by [tex]3x[/tex] we get:
[tex]16=2x[/tex]
Dividing both sides by 2 we get:
[tex]8=x[/tex]
[tex]x=8.[/tex]
The age of daniel = 8 years.
The age of Kevin = [tex]3x=3\times 8=24\ years.[/tex]
Therefore, Kevin is now 24 years old.
