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ITAMO
1985 ITAMO
7
Four integer variables
Four integer variables
Source:
March 14, 2006
Problem Statement
Assume that
a
a
a
,
b
b
b
,
c
c
c
, and
d
d
d
are positive integers such that
a
5
=
b
4
a^5 = b^4
a
5
=
b
4
,
c
3
=
d
2
c^3 = d^2
c
3
=
d
2
, and
c
−
a
=
19
c - a = 19
c
−
a
=
19
. Determine
d
−
b
d - b
d
−
b
.
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