Question

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

Answer 1

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`

`2x = 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!

Answer 2

`151 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:

`rarrx+x+2=304`

`rarr2x+2=304`

`rarr2x=304-2`

`rarr2x=302`

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

So,

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