The product of three successive positive integers is equal to the sum of average of these three int

M4maths Previous Puzzles

07 Mar 2012 integer

The product of three successive positive integers is equal to the sum of average of these three integers and 4. Product of these three integers will be

OPtion

1) 0
2) 6
3) 24
4) 60
5) 120
6) 210
7) 336
8) 504
9) 720
10) none of these

Solution

according to the given condition
(x-1)*x*(x+1) = (x-1+x+x+1)/3 + 4
implies x^3-x = x+4
or x^3-2x-4 = 0
root of this equation = 2
so product = 1*2*3 = 6

Correct Option: 2 Best Solution (0)