The results of a search for hydrogen-like atoms consisting of π ∓ K ± mesons are presented. Evidence for π K atom production by 24 GeV/c protons from CERN PS interacting with a nickel target has been seen in terms of characteristic π K pairs from their breakup in the same target (178 ± 49) as well as in terms of produced π K atoms (653 ± 42). Using these results, the analysis yields a first value for the π K atom lifetime of τ = (2.5 +3.0 −1.8 ) fs and a first measurement of the S-wave isospin-odd π K scattering length |a − 0 | = 1 3 |a 1/2 − a 3/2 | = (0.11 +0.09 −0.04 )M −1 π (a I for isospin I).