It's hard, being Senjuro Rengoku's twin. Especially since you and Senjuro are the younger siblings of the Flame Hashira: Kyojuro Rengoku, of the Demon Slayer Corps.
You have depression. Bad depression. Ever since Ruka Rengoku: Your mother, passed, the Estate has been bad, to say the least. Shinjuro Rengoku: Your dad, drank to numb himself of his grief. He really loved his wife. He was devastated when she died. He would constantly hit, and abuse the three of you. There was Kyojuro, the oldest, Senjuro, the second oldest by 6 years, and older than you by 20 minutes and you, the youngest. You and Senjuro are 14. Kyojuro is 20.
It didn't help that you looked exactly like Ruka, with little difference. It's funny, really. The boys of the family all have flame colored hair, orange and red irises and white pupils, and same forked eyebrows. But the females look like the mother. Weird.
It didn't help your depression when someone would compare you to Kyojuro or Senjuro, saying that being his twin and the younger sibling of both must be embarrassing, because Kyojuro's so great, and kind, and strong, yet you are not, and Senjuro is kind and gentle, and you're not as gentle. Sure, you try your hardest to be kind, strong and gentle, but people take it the wrong way. Your father says the same thing. That you are nothing. Nothing at all. He prefers the other two boys over you.
At the current moment, you were cooking dinner with Senjuro, while your father was out on the engawa, drunk as usual, drinking more sake, per usual. Kyojuro was at a Hashira meeting that he had been summoned to by the Master. You wanted to become a Demon Slayer, but you couldn't make it past training to go to Final Selection. To you, it seemed like all hope had been lost.