The difference between two whole numbers is 14 and their product is 1,800.

Let b>a

b-a=14, so we can say b=14+a

ab=1800, and using b from above we get:

a (14+a) = 1800

14a+a^2=1800

a^2+14a-1800=0

a^2-36a+50a-1800=0

a (a-36) + 50 (a-36) = 0

(a+50) (a-36) = 0

So there are two solutions ...

a=-50 and 36 and since b=14+a the corresponding b values are:

b=-36 and 50

So the number pairs are:

-50 and - 36 and

36 and 50