MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2012 India PRMO
4
4
Part of
2012 India PRMO
Problems
(1)
2012 preRMO p4, RMO=240, RO+M-46, R+MO=64, R+M+O=?
Source:
6/16/2019
The letters
R
,
M
R, M
R
,
M
, and
O
O
O
represent whole numbers. If
R
×
M
×
O
=
240
R \times M \times O = 240
R
×
M
×
O
=
240
,
R
×
O
+
M
=
46
R \times O + M =46
R
×
O
+
M
=
46
and
R
+
M
×
O
=
64
R + M \times O = 64
R
+
M
×
O
=
64
, what is the value of
R
+
M
+
O
R + M + O
R
+
M
+
O
?
number theory