SOLUTION: how many consectives even numbers are there between 35 and 45' how many consectives odd numbers are there between 60 and 80' what is the difference between two consective even nu

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Question 885364: how many consectives even numbers are there between 35 and 45'
how many consectives odd numbers are there between 60 and 80'
what is the difference between two consective even numbers
what is the difference between two consective odd numbers
f consective numbers are whole numbers that follow one after another ,what is the sum of the next two consective numbers after 13??

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
What is the difference between two consecutive even numbers?
Even numbers are numbers that are multiples of 2.
You could also say that they are divisible by 2.
The first one is 1%2A2=2 ,
the next/2nd one is 2%2A2=4 ,
and the 3rd one (the next one after 4) is 3%2A2=6 .
Counting by 2's you get from one even number to the next one.
2 and 4 are consecutive even numbers, because 4 is the next even number after 2.
4 and 6 are consecutive even numbers, because 6 is the next even number after 4.
That is what consecutive means: one after the other as we count then in order.
2 and 6 are even numbers, but they are not consecutive even numbers,
because we skipped 4.
The difference between two consecutive even numbers is highlight%282%29

What is the difference between two consecutive odd numbers?
It is also highlight%282%29 , because the odd numbers are in order
1, 3, 5, 7, 9, 11, 13, ....

If a problem talks about two consecutive odd (or even) numbers, I would start by defining
n= the first of those consecutive odd (or even) numbers.
Then, I would write that
n%2B2= the next/other consecutive odd (or even) number.
If a problem talks about three consecutive odd (or even) numbers, I would call them
n, n%2B2, and %28n%2B2%29%2B2=n%2B4

How many consecutive even numbers are there between 35 and 45?
The last/greatest even number before (less than) 45 is 44=22%2A2 .
That is the 22nd positive even integer,
the first one being 2=1%2A2 ,
the 17th being 34=17%2A2 , and
the 18th being 36=18%2A2 .
Of the 22 positive integers less than 45 (including 2 and 44}),
17 of them (from 2 to 34) are less than 35.
The other 22-17=highlight%285%29 , starting with 36 and going all the way to 44,
are between 35 and 45.
Can we list them and count them to verify?
Sure we can. They are:
36, 38, 40, 42, and 44.
That is indeed highlight%285%29 even numbers between 35 and 45,
listed in order.
Are they consecutive? Sure they are.
They are all the even numbers in order,
one after the other, without skipping,

How many consecutive odd numbers are there between 60 and 80?
Just as the first positive even integer is 2=1%2A2 ,
and the 30th positive even integer is 60=30%2A2 ,
the first and 30th odd integers are one less than those:
1=2-1=1%2A2-1 and 59=60-1=30%2A2-1 .
Similarly, the 31st odd integer is 31%2A2-1=62-1=61 ,
the 40th odd integer is 40%2A2-1=80-1=79 , and
the 41st odd integer is 41%2A2-1=82-1=81 .
The odd numbers are there between 60 and 80 start with 61 and end with 79.
From the fist 40 odd integers from 1 to 79,
we have to eliminate the first 30 (from 1 to 59).
We are left with 40-30=highlight%2810%29 .
Can we list them and count them to verify?
Sure we can. They are:
61, 63, 65, 67, 69.
71, 73, 75, 77, and 79.
That is indeed highlight%2810%29 odd numbers between 61 and 79,
listed in order.

What is the sum of the next two consecutive numbers after 13?
The number that follows 13 is 14 , and after that comes 15 .
The sum of the next two consecutive numbers after 13 is
13%2B14=highlight%2827%29 .