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14
Purple Comet 2018 MS problem 14
Purple Comet 2018 MS problem 14
Source:
March 19, 2020
number theory
Problem Statement
Find the number of ordered quadruples of positive integers
(
a
,
b
,
c
,
d
)
(a,b,c, d)
(
a
,
b
,
c
,
d
)
such that
a
b
+
c
d
=
10
ab + cd = 10
ab
+
c
d
=
10
.
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