Sibling Age Riddle

Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one?




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When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.