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2017 Canadian Open Math Challenge
A4
A4
Part of
2017 Canadian Open Math Challenge
Problems
(1)
2017 COMC A4
Source:
10/12/2018
Source: 2017 Canadian Open Math Challenge, Problem A4 —-- Three positive integers
a
a
a
,
b
b
b
,
c
c
c
satisfy
4
a
⋅
5
b
⋅
6
c
=
8
8
⋅
9
9
⋅
1
0
10
.
4^a \cdot 5^b \cdot 6^c = 8^8 \cdot 9^9 \cdot 10^{10}.
4
a
⋅
5
b
⋅
6
c
=
8
8
⋅
9
9
⋅
1
0
10
.
Determine the sum of
a
+
b
+
c
a + b + c
a
+
b
+
c
.
Comc
2017 COMC