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Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2020 Bosnia and Herzegovina Junior BMO TST
1
1
Part of
2020 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
JBMO TST Bosnia and Herzegovina 2020 P1
Source:
8/10/2020
Determine all four-digit numbers
a
b
c
d
‾
\overline{abcd}
ab
c
d
which are perfect squares and for which the equality holds:
a
b
‾
=
3
⋅
c
d
‾
+
1
\overline{ab}=3 \cdot \overline{cd} + 1
ab
=
3
⋅
c
d
+
1
.
number theory