"managed to agree" is correct and can be used in written English.
Example: After hours of negotiation, we finally managed to agree on the terms of the contract.
The main thing is that we managed to agree that deal".
Despite these divisions, the E.U. managed to agree on the new screening framework.
Had it not managed to agree to keep talking, the assembly would have dissolved in wretched failure.
Mr Zafaryab had all four wheels clamped in Wembley, north London, before he managed to agree a £100 release fee.
By the end of the Nets-Lakers game, Sparrow and I had managed to agree on one basic point.
But in 1980 these opponents managed to agree on one way to chart and test the global future.
The magazine's editors huddle and at least manage to agree on how not to.
But it did manage to agree on a Maoist prime minister, Baburam Bhattarai, and a cabinet.
But the only shocking thing may be if they manage to agree on anything at all.
How do the same justices who issue the bitterly contested decisions in headline-grabbing cases manage to agree so often?
That said, as Mr Woodford has pointed out, Norges Bank's policy committee manages to agree on a forecast.
