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Brain Teaser Competition

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This one is for those bunting mathematicians...

What's the next number?

112 > 323 > 655 > 1220 > 1342
 
There are four ladies. Bethany is younger than the violinist who lives west of Jenny. The violinist lives North of Miss Purdy, who lives 5 miles from Alice, who lives 2 miles from the vocalist. The dancer is older than Miss Angledom and Clamidia is older than the seamstress. Alice is older than Miss Judd, who lives 3 miles from Jenny, who lives South of Miss Benny.

How far does Clamidia live from Bethany and who is the eldest of the four ladies?
 
14 minutes
dad and daughter = 5 minutes
dad back with torch = 1 minute
dad and son = 4 minutes
dad back with torch = 1 minute
dad and mum = 3 minutes
 
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