Respuesta :

Answer:

14

Step-by-step explanation:

13 is a prime number

so it can only have the positive integer factors {1,13}

So {x,y} = {1,13} or {13,1}

In either case, 1+13 = 14

The sum of x + y is 14 .

What is prime number?

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

According to the question

xy=13

both x and y are positive

As 13 is a prime number

i.e

(x,y) can be only 1 or 13 .

To get 13 as product of xy

(x,y) must be equal to  (1,13) or (13,1)

Therefore,

the sum of x + y  = 13 + 1

                           = 14

                     

Hence, the sum of x + y is 14 .

         

To know more about  prime numbers here:

https://brainly.com/question/9315685

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