11. (a) Kweku belongs to three different social clubs in his community. One club meets every 5 days, another club meets every 7 days, while the third club meets every 10 days. All the three clubs had their first meeting on the same day. How many days after their first meeting will they all have their meeting on the same day again?
11. (a) Kweku belongs to three different social clubs in his community. One club meets every 5 days, another club meets every 7 days, while the third club meets every 10 days. All the three clubs had their first meeting on the same day. How many days after their first meeting will they all have their meeting on the same day again?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:### Problem:
Kweku belongs to three different social clubs in his community. Each club has its own meeting schedule:
- One club meets every 5 days.
- Another club meets every 7 days.
- The third club meets every 10 days.
All three clubs had their first meeting on the same day. The question is: **How many days after their first meeting will they all have their meeting on the same day again?**
### Explanation:
To solve this problem, we need to find the least common multiple (LCM) of the meeting intervals (5, 7, and 10 days) to determine when all clubs will meet on the same day again. The LCM is the smallest number that is a multiple of each of the numbers.
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