Question
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
A.
in 2 years
B.
in 8 years
C.
in 12 years
D.
in 24 years
Answers
GPT 3.5
The next time Mr. Hon purchases a new car will be in 4 years. Likewise, the next time Ms. Jasper purchases a new car will be in 6 years. The question is asking when they will both purchase new cars in the same year.
One way to find the answer is to find the least common multiple of 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24... The multiples of 6 are: 6, 12, 18, 24...
From the lists above, we see that the least common multiple of 4 and 6 is 12. Therefore, Mr. Hon and Ms. Jasper will next purchase new cars in the same year 12 years from now.
The answer is C. in 12 years.
One way to find the answer is to find the least common multiple of 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24... The multiples of 6 are: 6, 12, 18, 24...
From the lists above, we see that the least common multiple of 4 and 6 is 12. Therefore, Mr. Hon and Ms. Jasper will next purchase new cars in the same year 12 years from now.
The answer is C. in 12 years.