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India IOQM
2020-21 IOQM India
29
IOQM 2021 P29
IOQM 2021 P29
Source:
January 17, 2021
Problem Statement
Positive integers
a
,
b
,
c
a, b, c
a
,
b
,
c
satisfy
a
b
a
−
b
=
c
.
\frac{ab}{a - b} = c .
a
−
b
ab
=
c
.
what is the largest possible value of
a
+
b
+
c
a+ b+ c
a
+
b
+
c
not exceeding
99
99
99
?
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