Every 3 days William has to take medication for his back. Every 7 days he has to take medication for his asthma. On what day Wil

Question

3 years ago

6

liam take take both medications?
(LCM)

2 answers:

In-s [12.5K] · Answer 1 · 2022-02-19T06:40:17+03:00

6 0

On the 21st day; the 7th day of the back medication and the 3rd day of the asthma medication.

Jobisdone [24] · Answer 2 · 2022-02-19T08:56:32+03:00

Answer: William will take both medications on every 21 days.

Step-by-step explanation:

Given: Every 3 days William has to take medication for his back. Every 7 days he has to take medication for his asthma.

To find the on what day William take take both medications, we need to find the LCM ( least common multiple) of 3 and 7.

Since 3 and 7 are both coprime numbers therefore, the LCMof 3 and 7 is given by:-

$L.C.M.(3,7)=3\times7=21$

Hence, William will take both medications on every 21 days.