Question

if a,b,c >4 are integers but not all equal and 4abc = (a+3) (b+3) (c+3). Then what is the value of a+b+c?​

Answer 1

Answer:

Let a, b, c > 4 => One of a, b, c must be 4 Let a = 4 4 × 4 × bc = (7) (3 + b) (3 + c) 16 × bc = 7 (3 + b) (3 + c) One of b, c must be 7 let b = 7 16 × 7 × c = 7 × 10 × (3 + c) => c = 5 Possible (a, b, c) = (4, 7, 5) and its arrange also it is unique ∴ a + b + c = 16

I hope you got it