SOLUTION: Terry is Sherrys mother. Terry’s age and Sherrys age have the same digits but in reverse order. In 13 years, Terry will be twice as old as Sherry. How old is Sherry now?

Question 1147810: Terry is Sherrys mother. Terry’s age and Sherrys age have the same digits but in reverse order. In 13 years, Terry will be twice as old as Sherry. How old is Sherry now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 = b +
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

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