Hello I am having some difficulty with this problem.

Two positive numbers differ by 11, and their square roots differ by 1. Find

the numbers.

Difference between the numbers is 11.

This means (x-y)=11

substituting in our main equation, we get:

11*(x+y)=1

(x+y)=0.5

Now we arrive at two simple linear equations:

(x+y)=0.5

(x-y)=11

solve for 'x' and 'y' from the above eqns to get:

x=5.75, y=-5.25