# How do you find two consecutive odd integers such that the sum of the first and twice the second is 55?

May 23, 2018

The two consecutive odd numbers are color(maroon)(17, 19

#### Explanation:

Let a and b the two consecutive odd numbers.

$b = a + 2$

Given $a + 2 b = 55$

$b - 2 + 2 b = 55$, Replacing a in terms of b.

$3 b = 55 + 2 = 57$

$b = \frac{57}{3} = 19$

$a = b - 2 = 19 - 2 = 17$