What are two consecutive odd integers whose sum is 172?

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Answer 1 · 2017-07-09T05:18:46

$85 and 87$

let $y = x + 2$ , and $x and y$ be the consecutive odd integers.
$x + y = 172$
$x + (x+2) = 172$
$2x = 170$

$x = 85$

$y = x+2$
$y = 87$

Answer 2 · 2017-07-09T05:19:26

85 & 87

Let the $color(red)("first odd integer be n"$ , the next consecutive odd integer would be $color(blue)"n + 2"$ .

Adding them together, you get:

$color(red)n +color(blue)(n+2) =172$

$2n + 2 =172$

$2n = 170$

$n=85$

This means the first one is 85 and the second is 87. You can check your answer by adding them together :)

Answer 3 · 2017-07-09T07:21:07

$85,87$

let the fist odd integer be

$color(red)(2n-1)$

the second will then be

$color(blue)(2n+1)$

$ninNN$

sum is 172

$:.2n-1+2n+1=172$

$=>4n=172$

$n=172/4=43$

1st odd: $" "color(red)(2xx43-1=86-1=85)$

2nd odd $color(blue)(=85+2=87)$