What number has 2 digits and when a decimal point is placed between them, the resulting number is the average of digits in the 2 digit number??

If the number is ab, then a.b = (a+b)/2

That is,

a + b/10 = (a+b)/2
10a+b = 5a+5b
5a=4b

Given the one-digit values of a and b, the number must be 45