Age Brain-Teasers

These classic brain-teasers are taken from the book “Mathematical Brain-Teasers” by J.A.H Hunter (1965). Both are about finding the ages of people, although the first is more straightforward than the second. It doesn’t matter what year you are in, but you will need to use simultaneous equations for q2. Good luck!

  1. When Annie was asked how old she is, she replied “My present age is five times what it five years hence will be, less five times what it was five years ago.” How old is Annie?
  2. When Ted was twice as old as Sue, her brother Clive was twenty-two. When Sue was twice as old as Clive, Ted himself was twenty-five. Their ages total one-nought-three, so now what must their ages be?

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