Question

Bill takes a vitamin B pill every 3 days and a vitamin C pill every 4 days. If he takes both pills on day 1, for how many of the next 65 days will Bill take both pills on the same day?

Answer 1

Answer:

6

Step-by-step explanation:

We are given that

Bill takes a vitamin B pills every 3 days and vitamin C pill every 4 days.

We have to find how many of the next 65 days Bill will take both pills on the same day.

To find the number of days on which Bill take both pills on the same day we will find the lcm of 3 and 4.

Lcm (3,4)=$3\times 4=12$

Multiples of 12 lie between 1 and 65 are

12,24,36,48,60

Number of days on which Bill take both pills on the same day=5

If he takes both pills on day 1

Therefore, total number of days on which Bill take both pills on the same day=5+1=6

Hence, otal number of days on which Bill take both pills on the same day=6