Amy, Beth and Claire each have some sweets. Amy gives one third of her sweets to Beth. Beth gives one third of all the sweets she now has to Claire. Then Claire gives one third of all the sweets she now has to Amy. All the girls end up having the same number of sweets. Claire begins with 40 sweets. How many sweets does Beth have originally?
Last week's solution:
The older of the two is 18.
Source: UKMT