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Problem
Problem
Let
[
a
]
[a]
[
a
]
denotes the larger integer not exceeding the real number
a
a
a
. If
x
x
x
and
y
y
y
satisfy the equations
y
=
2
[
x
]
+
3
y = 2[x] + 3
y
=
2
[
x
]
+
3
and
y
=
3
[
x
−
2
]
y = 3[x - 2]
y
=
3
[
x
−
2
]
simultaneously, determine
[
x
+
y
]
[x + y]
[
x
+
y
]
.
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