Report The eldest son in New Logic/Math Puzzles Posted November 6, 2016 23 hours ago, Thalia said: @FUZZYI think he means if you list out their ages in order, there will be no repetition and no gaps. So ages 1-19, 2-20, 3-21, etc. Sum of ages, I would assume applies to eldest sons, not all males. In araver's solution, S is the sum of ages, X is the oldest son in the village, and Y appears to be the youngest. I'm not sure where the y-1 came from. If you don't get that either, here's another way of looking at it using the same 3 original equations. Probably just a slightly longer form of his solution. Thank you Thalia. Your explanation made both the Q and A very clear.