Question

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

Answer 1

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 + 2b = 55`

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

`3b = 55 + 2 = 57`

`b = 57 / 3 = 19`

`a = b - 2 = 19 - 2 = 17`