Question

Find 3 consecutive odd natural number whose sum is 87​

Answer 1

Answer:

The consecutive odd integers with a sum of 87 are the following: 27, 29, 31.

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Answer 2

$\Large\bf\pink{Let,}$

$\red\longmapsto\:\:\bf\blue{x\:=\:The\:first\:odd\:integer}$

$\red\longmapsto\:\:\bf\blue{x\:+\:2\:=\:The\: second\:odd\:integer}$

$\red\longmapsto\:\:\bf\blue{x\:+\:4\:=\:The\: third\:odd\:integer}$

$\Large\bf\orange{Write the equation to solve,}$

$:\implies\:\:\bf{x \:+\: (x \:+ \:2) \:+ \:(x \:+ \:4) \:= \:87\:}$

$:\implies\:\:\sf{3x\:+\:6\:= \:87\:}$

$:\implies\:\:\sf{3x\:= \:87\:-\:6}$

$:\implies\:\:\sf{3x\:= \:81}$

$:\implies\:\:\sf{x\:= \:\dfrac{81}{3}}$

$:\implies\:\:\bf\green{x\:= \:27} (First \:odd \:integer)$

$:\implies\:\:\bf\purple{x\:+\:2\:= \:27\:+\:2\:=\:29} (Second \:odd \:integer)$

$:\implies\:\:\bf\red{x\:+\:4\:= \:27\:+\:4\:=\:31} (Third \:odd \:integer)$

$\Large\bf\therefore$ The consecutive odd integers with a sum of 87 are the following: 27, 29, 31.