Henry Ernest Dudeney/Modern Puzzles/22 - Mrs. Wilson's Family
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Modern Puzzles by Henry Ernest Dudeney: $22$
- Mrs. Wilson's Family
- Mrs. Wilson had three children, Edgar, James and John.
- Their combined ages were half of hers.
- Five years later, during which time Ethel was born, Mrs. Wilson's age equalled the total of all her children's ages.
- Ten years more have passed, Daisy appearing during that interval.
- At the latter event Edgar was as old as John and Ethel together.
- The combined ages of all the children are now double Mrs. Wilson's age, which is, in fact, only equal to that of Edgar and James together.
- Edgar's age also equals that of the two daughters.
- Can you find all their ages?
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Age and Kinship Puzzles: $22$. -- Mrs. Wilson's Family
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Age Puzzles: $33$. Mrs. Wilson's Family