Let x be the smaller number,
4x+(x+10)1/3=25
4x+x+10/3=25
13x+10/3=25
13x+10=25(3)
13x=75-10
x=65/13
x=5
Therefore,the smaller number is 5,large number is 15.
Let the larger number be Y and the smaller number be Z.
Y-Z=10 -----------------1
1/3Y+4Z=25 -----------2
1 x 4: 4Y-4Z=40 ------3
3 + 2: 13/3Y=65
Y=15
Sub Y=15 into 1
15-Z=10
Z=5