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APMOPS 2004 Question 2

APMOPS · APMOPS 2004

Question 2

Given that five whole numbers $a,b,c,d,e$ are the ages of 5 people and that $a$ is 2 times $b$, 3 times $c$, 4 times $d$ and 6 times $e$, find the smallest possible value of $a+b+c+d+e$.

Editorial convention: use positive ages, as intended by the supplied answer key.