30 October 2015

Arithmetic & Algebraic Problems - PUZZLING LEGACIES

Question: A man bequeathed a sum of money, a little less than $1,500.00, 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 $2.00, the fourth son's share plus $2.00, 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 dollars were divided, and no money was left over after the division. What was the total amount bequeathed?

Answer: The answer is $1,464.oo-a little less than $1,500.00. The legacies, in order, were $1,296.00, $72.00, $38.00, $34.00, and $18.00. The lawyer's fee would be $6.00.

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