Question

The sum of the first and third of three consecutive odd integers is $131$ less than three times the second integer. Find the three integers.

Answer 1

Let the integers be $x,x+2,x+4$
Now the equation we get is,
$x+x+4=3(x+2)-131$
$\Rightarrow 2x+4=3x+6-131$
$\Rightarrow 2x-3x=6-131-4$
$\Rightarrow -x=-129$
$\Rightarrow x=129$
So, the three consecutive numbers are
$x=129$,
$x+2=131$,
and $x+4=133$
Therefore, the correct answer is "the three consecutive odd integers are $129,131$ and $133$".