Respuesta :

The sum of two consecutive odd integers equals 12

Let x represents the first  odd integer

x+2 represents the second odd integer

Sum of first and second integer is x + (x+2)

The sum of two consecutive odd integers equals 12

So x +(x+2) = 12

x + x + 2= 12

2x + 2 = 12

Subtract 2 on both sides

2x = 10

Divide both sides by 2

x= 5

First odd integer = 5

second odd integer = x+2 = 5+2 = 7

Two odd integers are 5  and 7



alinakincsem

Answer:

The two consecutive integers are 5 and 7

Step-by-step explanation:

We know that the sum of two consecutive odd integers is equal to 12.

Assuming the first integer to be x and the second consecutive integer to be x+2, we can make the following equation:

[tex]x+(x+2)=12[/tex]

[tex]x+x+2=12\\\\2x+2=12\\\\2x=12-2\\\\2x=10\\\\x=\frac{10}{2} \\\\x=5[/tex]

The first integer is 5 so the second integer will be:

[tex]x+2=5+2=7[/tex]

So the two consecutive integers are 5 and 7.

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