Katherine and shally had $288 altogether. katherine gave 1/3 of her share to shally and their father gave $68 to shally. they now have the same amount of money. how much money did shally have at first?

1/3 of $288 is $96 So, therefore Shally had $96 at first.
But They both didn't have the same amount of money after too because:
1/3 of $288 is $96 
$96 + $68 = $164     So Shally has $164

Now, $288 - $96 = $192.    So Katherine has $192

So therefore they did not have the same amount of money but 1/3 of $288 is $96