Answer:
117 and 123.
Explanation:
If the 2 numbers are x and y we have the system of equations:
x - y = 6
xy = 14391
From the first equation y = X - 6 so substituting:
x(x - 6) = 14391
x^2 - 6x= 14391
x^2 - 6x - 14391 = 0
The prime factors of -13491 are -3*3*3*13*41
Now 3*3*13 = 117 and -3 * 41 = -123,
so the factors are:
(x - 123)(x + 117) = 0.
x = 123, -117.
As x is a whole number we take the positive value 123.
So x = 123 and y = 123 - 6 = 117.