Henry Ernest Dudeney/Puzzles and Curious Problems/43 - Mike's Age

by : $43$

 * Mike's Age
 * Pat O'Connor is $1 \tfrac 1 3$ times as old as when he built the pigsty.
 * Little Mike, who was $40$ months old when Pat built the sty, is now two years more than half as old as Pat's wife, Biddy, was when Pat built the sty,
 * so that when Little Mike is as old as Pat was when he built the sty,
 * their three ages combined will amount to just one hundred years.


 * How old is Little Mike?