we know that
the arithmetic mean or average is the sum of a collection of numbers divided by the number of numbers in the collection
so
Let
a-----> one number
b-----> second number
(a+b)/2=10.01--------> a+b=20.02------> equation 1
a=5.5b------> equation 2
substitute 2 in 1
5.5b+b=20.02-------> 6.5b=20.02------> b=20.02/6.5-----> b=3.08
a=5.5*(3.08)-----> 16.94
the answer is
the two numbers are
3.08 and 16.94