A Holiday Brain Teaser
by A. D. Denton
From The Sunday Times, 4th August 1957 [link]
The series below is peculiar in that if any two of the numbers are multiplied together and added to unity, the result is a perfect square:
1, 3, 8
Let A, be a fourth number in this series. There is a further series with the same characteristic:
8, B, 190, B
in which not only is B, the same as A, but B is also the same as A.
What is B?
(Note: zero is excluded)