Let x be a positive integer of the form 24n − 1, where n is an integer.

Prove that if a and b are positive integers such that x = ab,

then a + b is a multiple of 24.

(In reply to

Solution by broll)

Hint (edited):

n=1 ab=24-1=23=23+1

23+1 =24 , multiple of 24

proceed by induction on n - > adding 24 changes nothing

*Edited on ***August 8, 2017, 3:59 am**