MathDB
Problems
Contests
National and Regional Contests
New Zealand Contests
NZMOC Camp Selection Problems
2017 NZMOC Camp Selection Problems
8
8
Part of
2017 NZMOC Camp Selection Problems
Problems
(1)
a + b + c = 51, abc = 4000, 0 < a <= 10 and c > 25
Source: New Zealand NZMOC Camp Selection Problems 2017 p8
9/19/2021
Find all possible real values for
a
,
b
a, b
a
,
b
and
c
c
c
such that (a)
a
+
b
+
c
=
51
a + b + c = 51
a
+
b
+
c
=
51
, (b)
a
b
c
=
4000
abc = 4000
ab
c
=
4000
, (c)
0
<
a
≤
10
0 < a \le 10
0
<
a
≤
10
and
c
≥
25
c \ge 25
c
≥
25
.
system of equations
System
algebra