Henry Ernest Dudeney/Puzzles and Curious Problems/4 - Puzzling Legacies

From ProofWiki
Jump to navigation Jump to search

Puzzles and Curious Problems by Henry Ernest Dudeney: $4$

Puzzling Legacies
A man bequeathed a sum of money, a little less than $\pounds 1500$, to be divided as follows:
The five children and the lawyer received such sums that
the square root of the eldest son's share,
the second son's share divided by two,
the third son's share minus $\pounds 2$,
the fourth son's share plus $\pounds 2$,
the daughter's share multiplied by two,
and the square of the lawyer's fee
all worked out at exactly the same sum of money.
No pounds were divided, and no money was left over after the division.
What was the total amount bequeathed?


Click here for solution

Sources

Retrieved from "https://proofwiki.org/w/index.php?title=Henry_Ernest_Dudeney/Puzzles_and_Curious_Problems/4_-_Puzzling_Legacies&oldid=557220"