Math Problem Statement

A number is less than 100 and its tens digit is 2 more than its units digit. If the number with the digits reversed is subtracted from the original number, the remainder is 3 times the sum of the digits. Find the number.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Digit Manipulation
Linear Equations

Formulas

Original number = 10a + b
Reversed number = 10b + a
Difference = 9(a - b)
Sum of digits = a + b

Theorems

Basic properties of numbers and their digits

Suitable Grade Level

Grades 7-9