  The analysis of solar-like oscillations for stars belonging to a binary
system provides a unique opportunity to probe the internal stellar structure
and to test our knowledge of stellar physics. Such oscillations have been
recently observed and characterized for the A component of the 70 Ophiuchi
system. A model of 70 Ophiuchi AB that correctly reproduces all observational
constraints available for both stars is determined. An age of 6.2 +- 1.0 Gyr is
found with an initial helium mass fraction Y_i=0.266 +- 0.015 and an initial
metallicity (Z/X)_i=0.0300 +- 0.0025 when atomic diffusion is included and a
solar value of the mixing-length parameter assumed. A precise and independent
determination of the value of the mixing-length parameter needed to model 70
Oph A requires accurate measurement of the mean small separation, which is not
available yet. Current asteroseismic observations, however, suggest that the
value of the mixing-length parameter of 70 Oph A is lower or equal to the solar
calibrated value. The effects of atomic diffusion and of the choice of the
adopted solar mixture were also studied. We also tested and compared the
theoretical tools used for the modeling of stars for which p-modes frequencies
are detected by performing this analysis with three different stellar evolution
codes and two different calibration methods. We found that the different
evolution codes and calibration methods we used led to perfectly coherent
results.
