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algebra? The unknown numbers of which you speak are called variables. "algebra" oxford dictionary definition = investigation of properties of numbers using letters etc as general symbols
All branches of mathematics have the opportunity to utilize letters instead of numbers. This is called a variable and they are found in every branch of mathematics.

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Q: What is branch of mathematics where unknown numbers can be represented by letters?
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In arithmetic variables look like .?

In arithmetic, letters used to represent unknown numbers are called variables. Variables are usually represented by letters (x, y, z) or (a, b, c), or may be followed by subscript numbers or letters. If you are here for apex the answer is boxes


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