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

Puzzles and Curious Problems by Henry Ernest Dudeney: $43$

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?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age and Kinship Puzzles: $43$. -- Mike's Age
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age Puzzles: $38$. Mike's Age