Gordon grew up with Brown, 20, in the same house as a child after Houston decided to raise him as a son but legally did not adopt him.
"Yes, me and Nick are engaged. I'm tired of hearing people say 'Eww you're engaged to your brother' or 'If Whitney was still alive would we be together' or 'Would she approve of this'.
"Let me clear up something, we aren't even real brother and sister nor is he my adoptive brother. My mom never adopted him. In fact, mommy was the one who even said she knew that we were going to start dating," Brown wrote on her Facebook page while announcing the news.
"People need to seriously stop judging my relationship. Pretty sure it's my own decision who I want to be with. Yes, my relationship may not be perfect. We will have rough patches, just like every other relationship. And we have had our rough patches," she added.
Rumours about the couple's engagement first emerged in October last year when they were shown together in the trailer for their reality show 'The Houstons: On Our Own'.
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