If Steven rock climbs every 5 days and bikes every 3 days. If he runs and swims today how many days will pass until he runs and swims again on the same day?

I think you've left out some information. How often does he run and swim?

He rock-climbs the following days from now

day no. 5,10,15,20,...

he swims on
day no. 3,6,9,12,15,18,..

ahhh, what do you notice?

please help me i dont know

To determine how many days will pass until Steven runs and swims again on the same day, we need to find the least common multiple (LCM) of the two intervals: running and swimming, and the combination of rock climbing and biking.

The interval for running and swimming is 1 day since he does it today.

The interval for rock climbing is 5 days.

The interval for biking is 3 days.

To find the LCM of 5 and 3, we can list the multiples of each number and find the smallest common multiple:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, ...

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, ...

The LCM of 5 and 3 is 15 since it is the smallest number that appears in both lists.

Therefore, it will take 15 days until Steven runs and swims again on the same day.