Math Problem Statement

The sum of the digits of a two-digit counting number is 5. When the digits are reserved, the new number is 27 greater than the original number. What are the two numbers?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Linear Equations
Digit Problems

Formulas

a + b = 5
b - a = 3
10a + b for two-digit number representation

Theorems

Basic properties of linear equations
Digit reversal in a two-digit number

Suitable Grade Level

Grades 6-8