# Two positive numbers #x, y# have a sum of 20. What are their values if one number plus the square root of the other is a) as large as possible, b) as small as possible?

##### 1 Answer

Oct 6, 2017

Maximum is

Minimum is

#### Explanation:

Given:

Find **sum** of the two.

To obtain the max number, we would need to maximize the whole number and minimize the number under the square root:

That means:

To obtain the min number, we would need to minimize the whole number and maximize the number under the square root:

That is: