Answer:
Smallest Number = 35
Other Number = 42
Explanation:
Let the smaller number be x.
Let the other number be y.
Given:
x : y = 5 : 6
That is,

Next: Let the smaller number be reduced by 5, x - 5
Let the other number be increased by 3, y + 3
Given : (x - 5) : (y + 3) = 2 : 3
That is,

