Question 447523
{{{ m*n = 357 }}}
{{{ m - n = 4 }}}
{{{ n = m - 4 }}}
By substitution:
{{{ m*(m - 4) = 357 }}}
{{{ m^2 - 4m - 357 = 0 }}}
Use the quadratic formula
{{{m = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{ a = 1 }}}
{{{ b = -4 }}}
{{{ c = -357 }}}
{{{m = (4 +- sqrt( (-4)^2 - 4*(1)*(-357) ))/(2*1) }}} 
{{{m = (4 +- sqrt( 16 + 1428 ))/ 2 }}} 
{{{m = (4 +- sqrt( 1444 ))/2 }}}
{{{ m = (4 + 38)/2 }}}
{{{ m = 42/2 }}}
{{{ m = 21 }}}
{{{ n = m - 4 }}}
{{{ n = 21 - 4 }}}
{{{ n = 17 }}}
The numbers are 17 and 21