Question 964084
Set x = the larger number
 y = the smaller number
x = 11 + 28y
x*y = 11420
substitute ( 11+28y ) for x

( 11+28y )y =11420
11y + 28y^2 = 11420
28y^2 + 11y - 11420 = 0

*[invoke quadratic "x", 28, 11, -11420  ]
Based upon solver solution above, y = 20
Since x*y = 11420,
x = 11420/20
x = 571