Vivian! Good job.
This is an altered version of the famous "Census Taker Problem". There are exactly two triplets with a product of 72 and equal sums. This is necessary in order to confuse the census taker -- even though he sees the house number, he still cannot tell which triplet is the answer, until he finds out that there is an "oldest child". Can you find another number that has this property and can be used in a similar problem?
