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## Homework Statement

Two mail carriers meet on the route and have a conversation

A: You have three sons. How old ar ethey?

B: if you multiply their ages, the result will equal your age

A: That's not enough to tell me the answer!

B: the sum of these three numbers equals the number of windows in that building.

A: But it's still not enouhg!

B: My middle son is red-haired

A: Ah, now it's clear!"

How old are the sons?

## Homework Equations

None

## The Attempt at a Solution

I tried just plugging a bunch of three setted numbers but i just don't know what the hell i'm tryin to go for. I can deduce from the red-haired part that there are no twins at all in the three kids so the numbers have to be unique but besides that I've gotten nowhere!