Question

Two consecutive odd numbers are doubled resulting with a sum of 160. What are the two odd numbers? can someone please answer this I need help now

Answer 1

Given:

Two consecutive odd numbers are doubled resulting with a sum of 160.

To find:

The two odd numbers.

Solution:

Let the two consecutive odd numbers are x and x+2.

Double of the two consecutive odd numbers are 2x and 2(x+2).

Two consecutive odd numbers are doubled resulting with a sum of 160, so

`2x+2(x+2)=160`

`2x+2x+4=160`

`4x=160-4`

`4x=156`

Divide both sides by 4.

`x=(156)/(4)`

`x=39`

Now,

First odd number = 39

Second odd number = 39+2=41

Therefore, the two consecutive odd numbers are 39 and 41.