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

Mathematics

1 answer:

OLga [1]3 years ago

6 0

Answer:

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

1+x = 11 => x = 10

1+y = 5 => y = 4

In either case, x+y = 14

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