Find the last two digit
Number Theory
Level
3
(TIMO) Given that 2017AB is a 6 digit number which is divisible by 16, find the maximum value of A+B.
The answer is 13.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
You just have to find the multiples of 16 that are just within the range of 201700 to 201799.
The following are the list of the numbers: form: 2017(AB)
2017(12) => sum is 3
2017(28) => sum is 10
2017(44) => sum is 8
2017(60) => sum is 6
2017(76) => sum is 13
2017(92) => sum is 11
Clearly we can see that 13 is the highest possible sum of A+B.