Question 1147810
Terry is Sherry's mother.  Terry’s age and Sherry's age have the same digits but in reverse order.
 :
let a = Terry's 10 digit
let b = Terry's unit digit 
then
10a+b = Terry's age
and
10b+a = Sherry's age

" In 13 years, Terry will be twice as old as Sherry."
10a+b + 13 = 2(10b+a+13)
10a+b + 13 = 20b + 2a + 26
10a - 2a = 20b - b + 26 - 13
8a = 19b + 13
Divide by 8
a = {{{19/8}}}b + {{{13/8}}}
we know that a & b are single digit integers therefore could only be:
a = 4, b = 1  which is :(19/8 + 13/8) = (32/8) = 4
Terry is 41, Sherry is 14
:
 How old is Sherry now? 14