Question

the average of four cansecutive Evan number is 27, find the largest of these number_
Plz Give me right answer with explaination ​

Answer 1

Answer:

Namaste(◠‿◕)(◠‿◕)(◠‿◕)(◠‿◕)❤️❤️❤️❤️

Answer 2

Answer:

30

Step-by-step explanation:

Given :-

The average of four consecutive even number is 27

To find :-

Find the largest number ?

Solution :-

We know that

The general form of an even number = 2n

The consecutive four even numbers

= 2n ; 2n+2 ; 2n+4 ; 2n+6

The sum of the consecutive even numbers

=> 2n+2n+2+2n+4+2n+6

=> (2n+2n+2n+2n)+(2+4+6)

=> 8n+12

We know that

Average = Sum of all observations/Number of all observations

=> Average = (8n+12)/4

=> Average = 4(2n+3)/4

=> Average = 2n+3

According to the given problem

The average of 4 consecutive even numbers = 27

=> 2n+3 = 27

=> 2n = 27-3

=> 2n = 24

=> n = 24/2

=> n = 12

Now,

2n = 2(12) = 24

2n+2 = 24+2 = 26

2n+4 = 24+4 = 28

2n+6 = 24+6 = 30

The four consecutive even numbers = 24;26;28;30

The largest number = 30

Answer:-

The largest of the four consecutive numbers is 30

Check:-

The four consecutive numbers = 24;26;28;30

Their average = (24+26+28+30)/4

=> 108/4

=> 27

Verified the given relations in the given problem.