From Renta!:

Toma is nicknamed the "Ice Queen," due to his cold demeanor and expressionless look. Lately, he's been thinking a lot about how touchy-feely his roommate and long-time friend Hinata has been with him... because he's in love with Hinata.
Just as the two turn 20, they each receive a letter in the mail from the "Make Japan Happy Project," a nationwide program that uses A.I. to pair couples for marriage based on their compatibility. Toma assumes he will have to give up on loving Hinata once Hinata is paired with someone... but the matchmaking service ends up pairing the two together!
This is a marriage story filled with mishaps between a clingy puppy-dog guy and his husband-to-be who is totally oblivious to how popular he is.