What was the age of King David when he married Bath Sheva? Is it possible to know it from the Bible or from Chazal?
I tried to find information about it, but unfortunately, I couldn't find it.
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So the sefer - סדר הדורות הקצר seems to say not like what most people suggested above. See image here:
According to this view he would appear to have married Bas Sheva aged 57 with Shlomo being born the year after when he was 58.
Indeed, the Gemara in Sanhedrin 69b notes that she bore Shlomo at the age of 8 which would appear to tally with the sefer's report.