Question

The sum of three consecutive odd integers is -75. What are the integers?

Answer 1

The three consecutive odd integers are -27, -25 and -23

Explanation:

The sum of three consecutive odd integers is -75. We need to find those integers.

Let first integers be: n,

Let second integers be: n+2

Let third integers be: n+4

There sum will be:

`n+n+2+n+4=-75`

Now solving this equation to find three odd integers

`n+n+2+n+4=-75\\3n+6=-75\\3n=-75-6\\3n=-81\\n=(-81)/(3)\\n=-27`

So, value of n =-27

Hence first integer n = -27

second integer n+2 = -27+2 = -25

third integer n+4 = -27+4 = -23

So, The three consecutive odd integers are -27, -25 and -23