Alice [a] is 5 years older than Bob [b]. The product of their ages is 149 times the sum of their ages.

a=b+5 and ab=149(a+b)

Their ages?

Alice [a] is 5 years older than Bob [b]. The product of their ages is 149 times the sum of their ages.

a=b+5 and ab=149(a+b)

Their ages?

Alice is approximately 300.52 years old and Bob is approximately 295.52 years old.

For some reason, the calculation is seriously prone to error.

Best regards

It did seem that way but it needed an expert opinion.