Question

6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

Answer 1

In 48 days.

Explanation:

You didn't say what the 6 day one was so im going to use swimming.

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

Answer 2

we know that
Hillary
swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54
runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48
cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore
In 48 days she will do all three on the same day.