Can I keep my ex spouses social security if I remarry after age 65, and he is still liing?

I currently draw social secuirt,y and some of it is based on my exhusbamd's earnings. If I were to remarry would I be able to keep my ex spouses's benefits? I am now past 65, and my ex is stil liviing, by the way I asked 2 different Social Security offies that question today, and got two different responses!.