Question

Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes golfing every 7^\text{th}7 th 7, start superscript, start text, t, h, end text, end superscript day. If Sherman and Brad both went golfing today, how many days until they will go golfing on the same day again

Answer 1

Answer:

In every 42 days,  Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

$6=6,12,18,24,30,36,42$

$7=7,14,21,28,35,42$

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

Answer 2

Answer:

42

Step-by-step explanation: