Question

Answers to "at the gym, hillary swims every 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

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.

the answer is
48 days

Answer 2

Hillary do all three activities again on the same day in $48 \; \rm{days$.

Step-by-step explanation:

Given: hillary swims every $6$ days, runs every $4$ days and cycles every $16$ days. if she did all three activities today.

As per question:

Hillary swims in every $6$ days.

runs in every $4$ days.

And cycles in every $16$ days.

She will do all three activities again is calculated as Lcm of $4,\;6,\; 16$.

$4=2\times2\\6=2\times3\\16=2\times2\times2\times 2\\LCM=2\times 2\times 2\times2\times3=48$

Therefore, she do all three activities again on the same day in $48 \; \rm{days$.

Learm more about LCM here:

https://brainly.com/question/3000263?referrer=searchResults