Masters Of Age Theory

Number Theory Level 3

Two aged Number theory specialists sat at a pub reminiscing about their youth.

Ash said, "Well, it just occurred to me that when we first met, the square of your age contained the same three digits as the square of my age, just in a different order."

Bill said, "If you take the square of the sum of our ages when we met and split it into two 2-digit numbers, you'd have my age then and your age now!"

If B is Bills age when they first met and A is Ash's age now, your answer should be in the format B.A with a decimal point between the two ages.

Split it into 2 two-digit numbers means for example if the number is 1234. 12 will be one age and 34 the other.

Image credit: Wikipedia

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