487,081 views
31 votes
31 votes
The number of people in the city of Blue Moon and the number of people in the city of Bored Stiff areconsecutive odd integers that add together to be 3464. If their are more people in the city of Blue Moonthan Bored Stiff. How many people are in each city.The number of people in the city of Bored Stiff isThe number of people in the city of Blue Moon is

User Sabrina Tolmer
by
3.1k points

1 Answer

12 votes
12 votes

Let the number of people in Blue Moon be "x"

The next consecutive ODD numbers is 2 units farther from x, so it will be "x + 2". This is the population of Bored Stiff.

The number of people in Bored Stiff is "x + 2"

The sum of both the populations is 3464. Thus, we can write:


x+x+2=3464

Now, we can easily solve for x:


\begin{gathered} x+x+2=3464 \\ 2x+2=3464 \\ 2x=3464-2 \\ 2x=3462 \\ x=(3462)/(2) \\ x=1731 \end{gathered}

Answer

The number of people in the city of Blue Moon is 1731

The number of people in the city of Bored Stiff is 1731 + 2 = 1733

User Abdul Ali
by
2.7k points