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MATH / When the single digit D is written at the end of the positive two-digit integer XY, with tens digit X and ones digit Y, the resulting positive three-digit integer XYD is 619 more t…

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problem

When the single digit DD is written at the end of the positive two-digit integer XYXY, with tens digit XX and ones digit YY, the resulting positive three-digit integer XYDXYD is 619 more than the original integer XYXY. What is the value of the three-digit integer XYDXYD?
Plain-text mathematical notation (without MathML)
When the single digit D is written at the end of the positive two-digit integer XY, with tens digit X and ones digit Y, the resulting positive three-digit integer XYD is 619 more than the original integer XY. What is the value of the three-digit integer XYD?
Original LaTeX notation
When the single digit $D$ is written at the end of the positive two-digit integer $XY$, with tens digit $X$ and ones digit $Y$, the resulting positive three-digit integer $XYD$ is 619 more than the original integer $XY$. What is the value of the three-digit integer $XYD$?

level

Level 4

type

Number Theory

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Source and history

task_id
5a434353-0667-59e3-bdb4-2a3b53fbc441
task_key
number~5ftheory--test--5a434353-0667-59e3-bdb4-2a3b53fbc441
task_revision_id
1
config / split
number_theory / test

Official source

initial import