Chalk a win up for teen sleuths. The group of Boston teenagers were just looking for some money for a recreation center and ice rink in the neighborhood, which has 26,000 black and Latino youth within 1-1/2 miles and hasn’t had such a facility for decades.

So they did a little sleuthing, and what they found would have made Woodward and Bernstein proud. The TD Garden, which hosts the Boston Celtics and Bruins, hadn’t fulfilled a promise to host fundraisers for the city’s Department of Conservation and Recreation – for 23 years.

So the TD Garden announced Friday that it would pay $1.65 million to help fund a $30 million youth rec center in the city’s Jamaica Plain neighborhood. The kids’ response? By their calculation, TD Garden owes the city more than $13 million. “We need the money, and you need to keep up to your promise,” one teen leader said at a press conference.

A nonprofit community developer says it can start construction next year if it can raise the rest of the money. As the saying goes, it never would have happened without those meddling kids.