Problem

The sum of three consecutive numbers is 51 . What is the smallest of these numbers? Let $n$ represent the smallest number of the set. Equation or Inequality: The smallest of these numbers is

Solution

Step 1 :Let the smallest number be n, then the three consecutive numbers are n, n+1, and n+2. The sum of these numbers is 51: \(n + (n+1) + (n+2) = 51\)

Step 2 :Combine like terms: \(3n + 3 = 51\)

Step 3 :Subtract 3 from both sides: \(3n = 48\)

Step 4 :Divide both sides by 3: \(n = 16\)

Step 5 :\(\boxed{16}\) is the smallest of these numbers.

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Source: https://solvelyapp.com/problems/11074/

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