Four positive integers P, Q, R and S with P < Q < R < S are such that P, Q and R (in this order) are in arithmetic sequence and Q, R and S (in this order) are in harmonic sequence.

Given that S - P = 19, determine all possible quadruplet(s) (P, Q, R, S) that satisfy the given conditions.

(In reply to Solution by Praneeth)

Thanks, Praneeth.

I confirm having hyperlinked your methodology in my solution.

Posted by K Sengupta on 2008-08-05 12:12:01