Latest Maths Olympiad Aptitude Question SOLUTION: Call a natural number n faithful, if there exist natural numbers a < b < c such that a divides b, b divides c and n = a + b + c. (i) Show that all but a finite number of natural nu

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(#M40022007) MATHS OLYMPIAD question ALGEBRA Keep an EYE

Call a natural number n faithful, if there exist natural numbers a < b < c such that a divides
b, b divides c and n = a + b + c.
(i) Show that all but a finite number of natural numbers are faithful.
(ii) Find the sum of all natural numbers which are not faithful.

Asked In Maths Olympiad MAN (10 years ago)

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