WASHINGTON — President Joe Biden and former President Donald Trump on Wednesday agreed to hold two campaign debates — the first June 27 hosted by CNN and the second Sept. 10 hosted by ABC — setting the stage for their first presidential face-off to play out in just over a month.

The quick agreement on the timetable followed the Democrat’s announcement that he would not participate in fall presidential debates sponsored by the nonpartisan commission that has organized them for more than three decades. Biden’s campaign instead proposed that media outlets directly organize the debates between the presumptive Democratic and Republican nominees.

The debate is so unusually early on the political calendar that neither Biden nor Trump will have formally accepted his party’s nomination.

Hours later, Biden said he had accepted an invitation from CNN, adding, “Over to you, Donald.” Trump, who had insisted he would debate Biden anytime and anyplace, said on Truth Social he’d be there, too, adding, “Let’s get ready to Rumble!!!” Soon after that, they agreed to the second debate on ABC.

“Trump says he’ll arrange his own transportation,” Biden wrote on X, working in a jab about the perks of incumbency. “I’ll bring my plane, too. I plan on keeping it for another four years.”

The swiftness with which the match-ups came together reflects how each of the candidates thinks he can get the better of his opponent in a head-to-head showdown. Trump and his team are convinced the debates will exacerbate voters’ concerns about Biden’s age and competence, while Biden’s team believes Trump’s often-incendiary rhetoric will remind voters of why they voted him out of the White House four years ago.

The presidential debates could be particularly important in a year when voters are underwhelmed by their choices and have expressed concerns about the candidates’ advanced ages — Biden is 81 and Trump 77.

Sprightly on social media, the rivals traded barbs — each claiming victory the last time they faced off in 2020.

“Donald Trump lost two debates to me in 2020, since then he hasn’t shown up for a debate,” Biden said in a post on X. “Now he’s acting like he wants to debate me again. Well, make my day, pal.”

Trump, for his part, said Biden was the “WORST debater I have ever faced - He can’t put two sentences together!”

The June debate is likely to cap a busy and unsettled stretch, following the likely conclusion of Trump’s criminal hush money trial in New York, foreign trips by Biden to France and Italy, the end of the Supreme Court’s term, and the expected start of two criminal trials for the president’s son, Hunter Biden.

CNN said that its debate would be held at 9 p.m. EST in its Atlanta studios with no audience present in a break from recent precedent. Moderators will be anchors Jake Tapper and Dana Bash, CNN said. ABC did not offer details on where its event would be held. Disagreements about moderators and rules were some of the questions that prompted the formation of the Commission on Presidential Debates in 1987.

The two campaigns and television networks had held weeks of informal talks on ways to circumvent the commission’s grip on presidential debates following years of complaints and perceived slights, according to two people familiar with the matter who spoke on condition of anonymity.

Biden’s campaign had proposed excluding third-party candidates, such as Robert F. Kennedy Jr.. Under the debate commission’s rules, Kennedy or other third-party candidates could qualify if they secured ballot access sufficient to claim 270 Electoral Votes and polled at 15% or higher in a selection of national surveys.

Both CNN and ABC announced the same qualification threshold, saying candidates will need to reach at least 15% in four separate national polls of registered or likely voters that meet their standards.

In response, Kennedy accused Biden and Trump of “trying to exclude me from their debate because they are afraid I would win.”

Plans for a vice presidential debate have yet to be announced.

Trump has been pushing for more and earlier debates, arguing voters should be able to see the two men face off well before early voting begins in September. He has even proposed a debate outside the Manhattan courthouse where he is on trial.

Trump later posted on Truth Social that he had agreed to a third debate, this one hosted by Fox.

“Please let this TRUTH serve to represent that I hereby accept debating Crooked Joe Biden on FoxNews. The date will be Wednesday, October 2nd,” he wrote.

Biden campaign chair Jen O’Malley Dillon responded with a statement accusing Trump of having “a long history of playing games with debates: complaining about the rules, breaking those rules, pulling out at the last minute, or not showing up at all.”

“No more games. No more chaos, no more debate about debates. We’ll see Donald Trump on June 27th in Atlanta — if he shows up,” she wrote.