One of a and one of B is equal to one of 19, and a is greater than B. what is the value of a and B?

One of a and one of B is equal to one of 19, and a is greater than B. what is the value of a and B?

1/19=1/a+1/b
ab-19a-19b=0
(a-19)(b-19)=361
There are only two kinds of 361 factor: 1 * 361 and 19 * 19
Since 19 * 19 leads to a = b = 38, rounding off
Because a > b
b-19=1
a-19=361
So a = 380, B = 20