1

Part of 2017 May Olympiad

Problems(2)

max ascending multiple of 56 May Olympiad (Olimpiada de Mayo) 2017 L2 P1

Source:

We shall call a positive integer ascending if its digits read from left to right they are in strictly increasing order. For example,

458

is ascending and

2339

is not. Find the largest ascending number that is a multiple of

56

number theoryDigits

odd sum of a 3-digit number with it's ''inverted'' 201& May Olympiad L1 p1

Source:

To each three-digit number, Matías added the number obtained by inverting its digits. For example, he added

729

927

. Calculate in how many cases the result of the sum of Matías is a number with all its digits odd.

number theoryDigitsodd