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5Question: What two-digit positive integer is three less than a multiple of $ 7 $, $ 8 $, and $ 9 $?
We are looking for a two-digit integer $ x $ such that $ x + 3 $ is divisible by $ 7 $, $ 8 $, and $ 9 $.
This means $ x + 3 $ is a common multiple of $ 7, 8, $ and $ 9 $.
First, compute the least common multiple (LCM) of $ 7, 8, $ and $ 9 $: