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)#