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The phrase "answer based on" is correct and usable in written English.
It can be used when you want someone to provide a response that is informed by specific information or criteria.
Example: "Please answer based on the data provided in the report."
Alternatives: "respond according to" or "reply in light of".
Exact(60)
With e-mail, it's too easy to fire back an answer based on one-dimensional data and assume you've done your duty.
Here's my answer, based on a one-night stay last January: Spending a night in a room at 23 to 28 degrees Fahrenheit is an adventure.
But the question of exactly where to draw the line between those extremes is a difficult one to answer based on our initial principled reactions.
Participants with more than one child were prompted to answer based on the child they worried about the most.
The exercise in the answer based on organizing the systems model, comprises two parts, one for each of the two explained in the book.
The answer, based on the evidence to date, is equivocal.
An answer, based on wide experience in these matters: Sure.
The answer, based on a yearlong investigation by The New York Times, is twofold.
The answer, based on my personal experience with a 26-footer, is not hard at all.
And it will give you an answer based on that, plus your risk factors.
The answer, based on the evidence of Fernicola Osteria, is a rousing maybe.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com