# Daughters' Ages

Puzzle • Mathematics

Max Score: 40

Easy

Two MIT math grads bump into each other at Fairway on the upper west side. They haven’t seen each other in over 20 years.

`The first grad says to the second: “how have you been?”`

Second: “great! i got married and i have three daughters now”

First: “really? how old are they?”

Second: “well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there..”

First: “right, ok.. oh wait.. hmm, i still don’t know”

Second: “oh sorry, the oldest one just started to play the piano”

First: “wonderful! my oldest is the same age!”

How old are the daughters?

Respond with daughter ages sorted in ascending order and concatenated together. No spaces.

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