# The sum of two consecutive odd integers is 304. How do you find the two integers?

Feb 14, 2016

Write an equation, in function of x, to represent the situation.

#### Explanation:

Assuming the smaller number is x, the larger x + 2, since odd numbers come at intervals of two numbers (even, odd, even, odd, etc.)

$x + x + 2 = 304$

$2 x = 302$

$x = 151$

The numbers are 151 and 153.

Practice exercises:

1. The sum of three consecutive numbers is 171. Find the three numbers.

2. The sum of four consecutive even numbers is 356. Find the four numbers.

Good luck!

Feb 15, 2016

$151 \mathmr{and} 153$

#### Explanation:

Always remember that consecutive integers differ in the value of color(orange)(2:

So,Let the first number=color(red)(x

Then,second number==color(red)(x+2

Substitute the values into the equation:

rarrcolor(blue)((x)+(x+2)=304

Remove the brackets:

$\rightarrow x + x + 2 = 304$

$\rightarrow 2 x + 2 = 304$

$\rightarrow 2 x = 304 - 2$

$\rightarrow 2 x = 302$

color(green)(rArrx=302/2=151

So,

color(green)(x=151 , x+2=151+2=153