If now Kate is three times as old as Jan, and 6 years ago she was six times as old as he was, how old are they now?

Jan is 10 years old.Kate is 30 years old.

Step-by-step explanation:

To solve this problem, we need to find a system of equations.

Now: Kate is three times as old as Jan.

This statement can be expressed as , beacuse "three times" indicates a product.

6 years ago: She was six times as old as he was.

This statement can be expressed as , notice that we had to subtract 6 units, representing 6 years in the past.

Let's replace the first equation into the second one

Therefore, Jan is 10 years old.

Then,

Therefore, Kate is 30 years old.

What are the options for plato

Ais the correct answer