Henry Ernest Dudeney/Modern Puzzles/22 - Mrs. Wilson's Family

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?

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