Math Problem Statement
The sum of the digits of a two-digit counting number is 15. When the digits are reversed, the new number is 27 more than the original number. What was the original number?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Linear Equations
Digit Problems
Formulas
Sum of digits equation: x + y = 15
Reversed number equation: 10y + x = (10x + y) + 27
Equation for simplifying: y - x = 3
Theorems
Basic algebraic manipulation
Suitable Grade Level
Grades 6-8
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