Question 40005
let smallest number be x.
Then we have x+2, x+4 and x+6 successively.


So, x(x+2) = (x+4)(x+6) - 112
{{{ x^2+2x = x^2 + 10x + 24 - 112 }}}
{{{ x^2+2x = x^2 + 10x - 88 }}}
{{{ 2x = 10x - 88 }}}
{{{ -8x = - 88 }}}
x = (-88)/(-8)
x = 11


so, we have 11,13,15 and 17


CHECK:
11*13 is 143
15*17 is 255


and 255-143 is 112: correct


jon.