Question 789754
let the number be x

other number = (x+4)

x^2+(x+4)^2=250

x^2+x^2+8x+16=250

2x^2+8x+16-250=0

2x^2+8x-234=0

/2
x^2+4x-117=0

x^2+13x-9x-117=0

x(x+13)-9(x+13)=0

(x+13)(x-9)=0

x=-13 OR x=9

the numbers are positive

9,13