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1991 Chile National Olympiad
4
2x + 3y, 9x + 5y both divisible by 17 (Chile NMO 1991 P4)
2x + 3y, 9x + 5y both divisible by 17 (Chile NMO 1991 P4)
Source:
November 20, 2021
number theory
divides
divisible
Problem Statement
Show that the expressions
2
x
+
3
y
2x + 3y
2
x
+
3
y
,
9
x
+
5
y
9x + 5y
9
x
+
5
y
are both divisible by
17
17
17
, for the same values of
x
x
x
and
y
y
y
.
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