It's hard to believe that a woman her age could accomplish so much.

would this be better saying

It's hard to believe that she accomplished so much.

or would this still be racist

From the data you give, it is impossible to tell what her race is, so how could it be racist?

If the race is known, you can give specific reasons why it is "hard to believe" to reduce the possibility of being accused of being racist. This might include lack of education, previous lack of accomplishment under similar situations, lack of social support or some other reason(s). This could also reduce the chances of seeming to be sexist.

I hope this helps. Thanks for asking.

so i am assuming the first sentence is correct i should not change it because there race and age was not told specific make this sentence nonracist and nonagist.

IThe trip was filled with goldenagers.
is this correct when stated as goldenager

No it should read "The trip was filled with senior citizens.

Actually it should read:
"The trip was filled with older people."

no it is not

<<It’s hard to believe that a woman her age could accomplish so much.>>

I don't see agism or racism in this, however, I do see sexism. Would it be easier to believe that a man at this age could accomplish so much?

The age...could be 24 years...

I would suggest this...
It's hard to believe that a person of that age could accomplish so much.

The only thing I can add Bob, is if there is a specific person being talked about I don't think it would be considered agist. For example, if she's talking about how her active 90 yr old granma does by comparison with her women friends, where's the harm done?
Context matters here I think.

It's important to be mindful of how we phrase our statements to avoid inadvertently perpetuating stereotypes or biases. In the case of the sentence "It's hard to believe that a woman her age could accomplish so much," it might be better to rephrase it to "It's impressive that she accomplished so much." This removes any potential age or gender bias while still acknowledging the person's achievements.

As for the sentence "The trip was filled with goldenagers," it can be considered inappropriate and potentially offensive. It's better to use more neutral terms like "senior citizens" or "older people" when referring to a group of individuals of a certain age. This way, you avoid using language that may discriminate or stereotype based on age.