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Omni-MATH / A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x?

Problem

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problem

A two-digit positive integer xx has the property that when 109 is divided by xx, the remainder is 4. What is the sum of all such two-digit positive integers xx?
Plain-text mathematical notation (without MathML)
A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x?
Original LaTeX notation
A two-digit positive integer $x$ has the property that when 109 is divided by $x$, the remainder is 4. What is the sum of all such two-digit positive integers $x$?

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Source and history

task_id
9a8ab411-ea69-5b6c-b9f0-25eb5fb6b70b
task_key
test--9a8ab411-ea69-5b6c-b9f0-25eb5fb6b70b
task_revision_id
1
config / split
/ test

Official source

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