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