If x and y are positive integers and x+y+xy=54, then x+y equals what

The solution to this system is and . Then, .

Let be , then we proceed to modify the expression by algebraic means:

The only divisors of 55 is 5 and 11, respectively. Hence, we have the following  system of linear equations:

(1)

(2)

The solution to this system is and . Then, .

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x+y = 14

Step-by-step explanation:

x+y+xy = 54

1+x+y+xy = 55

(1+x)(1+y) = 55

(1+x)(1+y) = 5*11

If x and y are integers,

1+x = 5    => x = 4

1+y = 11   =>  y = 10

or

1+x = 11   => x = 10

1+y = 5   =>  y = 4

In either case, x+y = 14

two data sets with the same median will not have the same varaibility

step-by-step explanation: