7. Joel exercises every 12 days and Bryan every 8 days. Joel and Bryan both exercised today. How many days will be until they exercise together again? A. 8 B. 12 C. 16 D. 24
Answering the ASSUMED question - how many days until they exercise TOGETHER (or at least on the same day): They will exercise together again in 24 days - 24 is the Least Common Multiple of 8 and 12. Bryan exercises in 8 days, 16, then 24; Joel exercises in 12 days, then 24.
“For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.”
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Answer:
Answering the ASSUMED question - how many days until they exercise TOGETHER (or at least on the same day): They will exercise together again in 24 days - 24 is the Least Common Multiple of 8 and 12. Bryan exercises in 8 days, 16, then 24; Joel exercises in 12 days, then 24.
“For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.”