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Russia Contests
Moscow Mathematical Olympiad
1956 Moscow Mathematical Olympiad
321
321
Part of
1956 Moscow Mathematical Olympiad
Problems
(1)
MMO 321 Moscow MO 1956 2-digit x , sum of digits same as 2x,3x,..,9x
Source:
8/19/2019
Find all two-digit numbers
x
x
x
the sum of whose digits is the same as that of
2
x
2x
2
x
,
3
x
3x
3
x
, ... ,
9
x
9x
9
x
.
number theory
2-digit
sum of digits