Kofi is 7times as old as his daughter. i n 5years time he will be 4 times as old as his daughter. what will their ages

Let k be Kofi's age, and d be his daughter's age.

As of today, Kofi is 7 times as old as his daughter, which translates to

In 5 years time he will be 4 times as old as his daughter, which translates to

In fact, in 5 years their age will be the current one plus 5, and we know that Kofi will be 4 times as old as his daughter.

Rewrite the second equation as

Now we have the system

Use the first equation to write the second as

And we can deduce

So, Kofi is 35, and his daugter is 5.