Abbott and Costello " Buck Privates".    Maths in the Movies.      Project 7.
"BUCK PRIVATES"
Abbott and Costello made arithmetic shenanigans
the basis of a number of their comic dialogs.
Here is a dialog from their movie titled Buck Privates:

Abbott:
You're 40 years old, and you're in love with a little girl, say 10 years old. You're four times as old as that girl. You couldn't marry that girl, could you?
Costello:
No. ?
Abbott:
So you wait 5 years.
Now the little girl is 15, and you're 45.
You're only three times as old as that girl.
So you wait 15 years more.
Now the little girl is 30, and you're 60.
You're only twice as old as that little girl. ?
Costello:
She's catching up. ?
Abbott:
Here's the question.
How long do you have to wait before you and that little girl are the same age?
Costello:
What kind of question is that?
That's ridiculous.
If I keep waiting for that girl, she'll pass me up.
She'll wind up older than I am.
Then she'll have to wait for me!

Draw a graph of this.
On the vertical axis put (the man's age ÷ the girls age).
On the horizontal axis put (the girl's age).
Plot the points.
What happens?
Now does the girl's age ever catch up to the man's age?

Turn to page 2 for another problem from Buck Privates.