MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
7
7
Part of
2015 India PRMO
Problems
(1)
PRMO 2015. p7.
Source:
4/9/2024
7.
7.
7.
Let
E
(
n
)
E(n)
E
(
n
)
denote the sum of even digits of
n
.
n.
n
.
For example,
E
(
1243
)
=
2
+
4
=
6.
E(1243)=2+4=6.
E
(
1243
)
=
2
+
4
=
6.
What is the value of
E
(
1
)
+
E
(
2
)
+
E
(
3
)
+
.
.
.
+
E
(
100
)
?
E(1)+E(2)+E(3)+...+E(100) ?
E
(
1
)
+
E
(
2
)
+
E
(
3
)
+
...
+
E
(
100
)?
number theory
Digits