Question 476490
Let the numbers be x & x+2

x(x+2)=624
x^2+2x =624
complete the square on the left side
x^2+2x+1= 624+1
(x+1)^2= 625

Take the square root

(x+1) = +/- 25

x= -1+25 OR -1-25
x= 24 OR -26

(24,26)

(-26,-24)
Since they are positive 

the numbers are 24 & 26