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6
integer value of (ab+ 2023 b/4a) (Puerto Rico TST 2023.1.6)
integer value of (ab+ 2023 b/4a) (Puerto Rico TST 2023.1.6)
Source:
March 24, 2024
algebra
number theory
Problem Statement
Find all possible integer values of the sum:
a
b
+
2023
×
b
4
×
a
,
\frac{a}{b}+ \frac{2023 \times b}{4 \times a},
b
a
+
4
×
a
2023
×
b
,
where
a
a
a
and
b
b
b
are positive integers with no prime factors in common.
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