Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?

A.
in 2 years

B.
in 8 years

C.
in 12 years

D.
in 24 years

1 answer

To find out when they will next both purchase new cars in the same year, we need to find the least common multiple (LCM) of 4 and 6.

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...

The multiples of 6 are: 6, 12, 18, 24, 30, 36, ...

From the list, we can see that the least common multiple of 4 and 6 is 12.

Therefore, they will next both purchase new cars in the same year after 12 years.

The correct answer is: C. in 12 years.