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
[tex]2x+2(x+2)=160[/tex]
[tex]2x+2x+4=160[/tex]
[tex]4x=160-4[/tex]
[tex]4x=156[/tex]
Divide both sides by 4.
[tex]x=\dfrac{156}{4}[/tex]
[tex]x=39[/tex]
Now,
First odd number = 39
Second odd number = 39+2=41
Therefore, the two consecutive odd numbers are 39 and 41.
