Google Translate gave me the following translation:
The sum of two numbers is 24 whole 3 by 8.Lay the numbers knowing that one of them is bigger than the other with 3 whole 5 on 6.
Let the two numbers be x and y. Then x+y=24 3/8. Let x be the larger number. Then x = y+ 3 5/6.
Solve these two equations for x and y. Solve the first equation for x, obtaining x = (24 3/8) - y. Subst. this into the 2nd equation, we get
24 3/8 - y = y + 3 5/6, so 24 3/8 - (3 5/6) = 2y = 20.542, so y = 10.27. Since x = y + 3 5/6, x = 10.27 + 3 5/6 = 14.104
Solution: (10.27, 14.10)