Sunday Times Teaser 2754 – Family History
by Danny Roth
Published: 5 July 2015 (link)
Three of George’s relatives who were born in different years of the 20th century shared the same birthday. Writing these in the form D/M/Y with just two digits for the year, he tells Martha that: in one case D divided by M, when expressed as a percentage, is Y; in another M is the average of D and Y; in the remaining one D raised to the power M equals Y. George then told Martha that knowing the day, D, would not enable her to work out the three dates, but knowing any one of the three years would enable her to work out all three dates.
What is the most recent of the three birth dates?