Numeracy

My beastly auntie tells me she can always remember the year she was born. "It is the base," she says, "of a right-angled triangle whose area is 666,666."

Assuming all the sides of the triangle are integers, and no two have a common divisor, how old is auntie?

(Solution on Tuesday)

Yesterday's answers:

A: 48 (each number is the sum of all the digits preceding it)

B: 54 (after 1, 3 add the number of letters in preceding number)

C: 73 (first series plus second series).