Question

Sum of three consecutive odd numbers is 309. Find the middle number.

Answer 1

Answer:

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

Let us take the first number be x.

Then the second number = x+2

Then the third number =x+4

So, sum. of these nos.

= x+x+2+x+4

= x+x+2+x+4 =3x+6

=3(x+2)

But it is given 309 .

Atq, 3(x+2) =309

or x+2= 309/3

or x+2 =103

therefore x=103-2=101

=So, middle number =x+2 =101+2=103

$\large\red{\boxed{Middle\: number=103}}$