A new two digit number is four seventh of the original number What is the original two digit number? How many such two digits are there?

A new two digit number is four seventh of the original number What is the original two digit number? How many such two digits are there?

Let the original ten digit number be a and the individual digit number be B. A and B are all positive integers
(10b+a)/(10a+b)=4/7
4(10a+b)=7(10b+a)
40a+4b=70b+7a
33a=66b
a=2b
1)b=1,a=2
2)b=2,a=4
3)b=3,a=6
4)a=4,b=8
There are four double digits that meet the requirements, which are 21, 42, 63 and 84