Ericka and Destiny are roommates, and they have a dog. If neither of them is home, they hire someone to watch the dog. Ericka must go on business trips every 4 months, while Destiny has to go business trips every 6 months. If they both just got back from business trips, how many months will it be before they need to hire someone to look after the dog again? I said the answer would be : 2 months is this right
How did you get 2 months?
because 4 +6 =10 they all gone 4 months for one 6 months.
It would be 12 months am i right.
Yes, 12 months is right.
To find the answer to this question, we need to find the least common multiple (LCM) of 4 and 6. The LCM will give us the smallest number that is divisible by both 4 and 6.
To find the LCM, we can list the multiples of each number until we find a common multiple:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
From the lists above, we can see that the smallest number divisible by both 4 and 6 is 12 months.
Therefore, Ericka and Destiny will both need to hire someone to look after the dog after 12 months, not 2 months as you mentioned.