Math Problem Statement

A three‐digit number satisfies the following conditions: The digits are consecutive whole numbers in increasing order; the sum of each pair of digits is greater than 14 and less than 18; and the tens digit is an even number. What is the number?

Solution

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Math Problem Analysis

Mathematical Concepts

Number Theory
Inequalities
Consecutive Numbers

Formulas

Inequalities: x + y > 14 and x + y < 18

Theorems

Properties of consecutive numbers
Inequalities with digit sums

Suitable Grade Level

Grades 6-8