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A swimming club has three categories of member: junior, senior and veteran. The ratio of junior to senior members is $3:2$, and the ratio of senior to veteran members is $5:2$. What is the least possible number of members of the swimming club?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
How Many Swimmers?
Age 11 to 14
ShortChallenge Level 
A swimming club has three categories of member: junior, senior and veteran. The ratio of junior to senior members is $3:2$, and the ratio of senior to veteran members is $5:2$. What is the least possible number of members of the swimming club?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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