Golden Ages

Algebra Level pending

When Billy becomes 12 years younger than twice the sum of Billy and Billy's brother's ages today, Billy's brother will be 3.5 times as old as the difference of Billy and Billy's Brother's ages. Last year, Billy's brother was 1 year less than a third of the difference of (the product of Billy and Billy's Brothers ages today) and (3 times Billy's current age). If in 10 years, Billy's age is k, and Billy's brother's age is n, what is k*n?

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