Consecutive Integers

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The sum of the first and the third of three consecutive integers is 136. Then the value of the second integer is. ...


The answer is 68.

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3 solutions

Gaurav Singh
Mar 17, 2014

let three consecutive integers be x, x +1, x + 2. given that,The sum of the first and the third of three consecutive integers is 136. so, x + x + 2 = 136 then x = 67. so, the value of the second integer is x +1 = 67 + 1 = 68

Trevor B.
Dec 26, 2013

Let the three consecutive integers be n 1 , n , n-1\text{, }n\text{,} and n + 1 . n+1\text{.} We are given that n 1 + n + 1 = 2 n = 136 n-1+n+1=2n=136 , so n , n\text{,} the second integer, is 68 . \boxed{68}\text{.}

David Kroell
Dec 26, 2013

the first integer is x and the third is y

the second integer is obviously some number in between these.

As it is consecutive, it is safe to say that the second integer equals:

x + y 2 \frac{x + y}{2}

This equals: 136 2 \frac{136}{2}

Equals: 68

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