External division

Points A = ( 0 , 5 ) A=(0,5) and B = ( 10 , 13 ) B=(10, 13) are joined to form line segment A B \overline{AB} .

If point P = ( x , y ) P=(x,y) divides A B \overline{AB} in the ratio 3 : 1 3: 1 externally, then what is x + y ? x + y?

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