Answer:
The three consecutive odd integers are -27, -25 and -23
Step-by-step 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:
[tex]n+n+2+n+4=-75[/tex]
Now solving this equation to find three odd integers
[tex]n+n+2+n+4=-75\\3n+6=-75\\3n=-75-6\\3n=-81\\n=\frac{-81}{3}\\n=-27[/tex]
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
