Answered

Get personalized answers to your unique questions on IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

these are 2 different questions

1) Suppose we have two consecutive ODD integers. If the smaller one is “x”, what would we call the larger one?


2) We are told there are two consecutive odd integers and the smaller one is 12 more than one-third of the larger one. Use your answer to problem 9 to write a clean equation and then find the integers?

Sagot :

Facundo3141592idn

There are two questions about consecutive odd integers

1) (x + 2)

2) The numbers are 19 and 21

1) We have two consecutive odd integers.

Remember that the distance between any two consecutive odd numbers is 2.

5 - 3 = 2

7 - 5 = 2

13 - 11 = 2

etc.

So if the smaller of the two odd numbers is x, then the larger one will be (x + 2).

2) We have two consecutive odd numbers, let's write them as:

(2*n + 1) and (2*n + 3)

Where n is an integer number.

We know that the smaller one is 12 more than one third of the larger one, so we have:

(2*n + 1) = 12 + (2*n + 3)/3

Now we can solve this for n

2*n + 1 = 12 + (2/3)*n + 1

2*n - (2/3)*n = 12 + 1 - 1

(4/3)*n = 12

n = (3/4)*12 = 9

n = 9

Then the two consecutive odd integers are:

(2*n + 1) = (2*9 + 1) = 19

(2*n + 3) = (2*9 + 3) = 21

If you want to learn more, you can read:

https://brainly.com/question/15453368

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.