The relationship between redshift, distance, and age of the
universe is not simple. Ned Wright's Cosmology Calculator
http://www.astro.ucla.edu/~wright/CosmoCalc.html
allows you to work out the age and distance at a given redshift. The default values (H0 = 71 km/s/Mpc, ΩM = 0.27, Ωvac = 0.73) are the generally accepted values from WMAP.