# There are 2 consecutive odd integers and the sum of the second and three times the first is 6, what are the numbers?

Jun 3, 2015

Since they are consecutive odd integers they can be represented as:
color(purple)(x and x+2
(As the difference between two consecutive odds eg: 7 and 5 = 2 )

as per the condition in the question:
Three times first term is color(purple)(=3x

adding (sum of 2nd term and three times first term):
$x + 2 + \textcolor{p u r p \le}{3 x} = 6$
$4 x = 4 , x = 1$
Since $x = 1 , x + 2 = 3$

The numbers are: color(purple)( 1 and 3