.If the sum of 5 consecutive numbers is 95, what is the third number?
Question
.If the sum of 5 consecutive numbers is 95, what is the third number?
Solution
Step 1: Understand the problem The problem is asking for the third number in a sequence of 5 consecutive numbers that add up to 95.
Step 2: Set up the equation Since they are consecutive numbers, we can say the numbers are (n-2), (n-1), n, (n+1), (n+2). The sum of these 5 numbers is 95. So, we can set up the following equation:
(n-2) + (n-1) + n + (n+1) + (n+2) = 95
Step 3: Simplify the equation Combine like terms to simplify the equation:
5n = 95
Step 4: Solve for n Divide both sides of the equation by 5 to solve for n:
n = 95 / 5 n = 19
So, the third number in the sequence is 19.
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