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a + b + c = 51, abc = 4000, 0 < a <= 10 and c > 25

Source: New Zealand NZMOC Camp Selection Problems 2017 p8

September 19, 2021
system of equationsSystemalgebra

Problem Statement

Find all possible real values for a,ba, b and cc such that (a) a+b+c=51a + b + c = 51, (b) abc=4000abc = 4000, (c) 0<a100 < a \le 10 and c25c \ge 25.