These are twins. The one on our left is older. I have had an interesting discussion with Paul Nahin, the author of The Logician and the Engineer , which I'm currently reading to review . Nahin quotes a logic problem that is apparently well known amongst mathematicians. In it, one person is trying to guess the (integer) ages of the other's three daughters. He is given some information that allows him to narrow the possible ages down 1, 6 and 6 or 2, 2, and 9. Then the first gives an additional pieces of information. 'My oldest daughter,' he says, 'likes bananas.' Immediately the second person knows the girls' ages. The accepted correct solution goes that the daughters can't be 1, 6 and 6 because there isn't an oldest daughter in this scenario, so our logician can deduce they are 2, 2 and 9. But I say that this is rubbish - at the very least poor logic. Why? It is perfectly possible to have two six-year-old daughters born 10 months apa...