Posted by Tara on Tuesday, September 3, 2013 at 11:14pm.
Karen is 8 years old and Kate is 9 years old. What will Kate's age be when the total of the digits in both their ages is 17?

Math  Reiny, Wednesday, September 4, 2013 at 12:39am
let it be x years from now
8+x + 9+x
= 2x + 17
x KarenKatesum of their ages sum of digits of that
0  8  9  17 8
1  9 10  1910
2  10 11  213
3  11 12  23 5
...
36  44 45  89 17
When Karen is 44
and Kate is 45
sum of their ages is 89
sum of the digits in both their ages is 17