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2021 MOAA
5
Accuracy P5
Accuracy P5
Source:
October 16, 2021
MOAA 2021
Accuracy
Problem Statement
If
x
x
x
,
y
y
y
,
z
z
z
are nonnegative integers satisfying the equation below, then compute
x
+
y
+
z
x+y+z
x
+
y
+
z
.
(
16
3
)
x
×
(
27
25
)
y
×
(
5
4
)
z
=
256.
\left(\frac{16}{3}\right)^x\times \left(\frac{27}{25}\right)^y\times \left(\frac{5}{4}\right)^z=256.
(
3
16
)
x
×
(
25
27
)
y
×
(
4
5
)
z
=
256.
Proposed by Jeffrey Shi
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