Call an integer a two-three integer if it is greater than 1 and has the form 2^a * 3^b, where a ≥ 0 and b ≥ 0.
Express 19992000 as a sum of two-three integers so that none of the addends divides another.

Source: Eighth Korean Mathematical Olympiad (Crux Math. Dec 1999)

(In reply to re: Analytic Solution by Charlie)

A typo, the last term 2^12*3 should be 2^18*3.  I mistyped the last line, which I will now fix.

Posted by Brian Smith on 2017-10-15 21:54:25