MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2018 India PRMO
20
20
Part of
2018 India PRMO
Problems
(1)
2018 preRMO p20, product of whose digits equals n^2 -15n -27
Source:
8/8/2019
Determine the sum of all possible positive integers
n
,
n,
n
,
the product of whose digits equals
n
2
−
15
n
−
27
n^2 -15n -27
n
2
−
15
n
−
27
.
number theory
Product
Digits