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2021 LMT Spring
B1
2021 Spring LMT Division B Problem 1
2021 Spring LMT Division B Problem 1
Source:
January 22, 2022
algebra
Problem Statement
Given that the expression
2
0
21
2
0
20
+
2
0
20
2
0
21
\frac{20^{21}}{20^{20}} +\frac{20^{20}}{20^{21}}
2
0
20
2
0
21
ā
+
2
0
21
2
0
20
ā
can be written in the form
m
/
n
m/n
m
/
n
, where
m
m
m
and
n
n
n
are relatively prime positive integers, find
m
+
n
m +n
m
+
n
.Proposed by Ada Tsui
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