Question

the average of four consective odd numbers is 24. find the largest number?​

Answer 1

Answer:

Largest number = 27

Step-by-step explanation:

Given :-

• Average of four consecutive numbers is 24.

To find :-

• The largest number

Solution :-

Let the first number be x.

Then next number will be x + 2 because there is a difference of 2 between every odd number.

Example : If 3 is an odd number, then next odd numbers is 5.

3 + 2 = 5

Similarly, if one odd number is x,

Then next three odd numbers are : x + 2, x + 4, x + 6.

There are four numbers.

So, their average will be equal to their sum divided by 4.

Therefore,

According to question,

(x + x + 2 + x + 4 + x + 6)/4 = 24

(4x + 12)/4 = 24

x + 3 = 24

x = 21

Now, we have found the smallest of the four.

Therefore, the largest consecutive will be, x + 6 = 27

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Answer 2

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Answer:

Largest number = 27

Step-by-step explanation:

Given :-

Average of four consecutive numbers is 24.

To find :-

The largest number

Solution :-

Let the first number be x.

Then next number will be x + 2 because there is a difference of 2 between every odd number.

Example : If 3 is an odd number, then next odd numbers is 5.

3 + 2 = 5

Similarly, if one odd number is x,

Then next three odd numbers are : x + 2, x + 4, x + 6.

There are four numbers.

So, their average will be equal to their sum divided by 4.

Therefore,

According to question,

(x + x + 2 + x + 4 + x + 6)/4 = 24

(4x + 12)/4 = 24

x + 3 = 24

x = 21

Now, we have found the smallest of the four.

Therefore, the largest consecutive will be, x + 6 = 27