"faced with both" is correct and can be used in written English
It is typically used to introduce two things that are causing a challenge or decision for the subject of the sentence. Example: Faced with both a demanding job and a long commute, Sarah struggled to find a work-life balance.
"Black women are faced with both kinds of discrimination," Wilson said.
He's faced with both a surge in demand and, because of government budget cuts, a threat to his financing.
His fearless, candid and deliberate style made him invaluable to our Company faced with both startup and new technology challenges.
Faced with both firmness and offers of civility, the Ossetians will have difficulty holding out through the winter, he said.
Faced with both changing input data and evolving requirements on the produced output, we face a significant engineering task for schema and data transformation.
It is an emotional political fight that has recurred repeatedly when the city has been faced with both high-profile crime and static, or even shrinking, police resources.
Programmers have to face with both parallel and distributed programming paradigms when designing an application.
He slowly got up from his seat, too, and Kino found himself face to face with both of them.
On a recent surprise visit to the city's one-stop center in Harlem, Mr. Walsh came face to face with both the promise and the shortcomings of the existing program.
First Minister Carwyn Jones has said he is prepared to talk face to face with both sides in the dispute and added that fans wanted to see an end to the row.
That's the problem both Japan and China are facing with both the US and Europe - those trade surpluses can really sting you when they start to unwind. .
