Question

the average of five consecutive odd numbers 0f 51 what is the difference between highest and lowest​

Answer 1

Step-by-step explanation:

answer : I hope this will be helpful for you

Answer 2

Answer:

8 is the difference between highest and lowest numbers .

Step-by-step explanation:

Explanation:

Given , The average of five consecutive odd number is 51 .

Let 'a' be any odd numbers

Step1:

If 'a' is any odd number than five consecutive numbers are

a , (a+2),( a+4) (a+6) ,( a+8).

So , the average of five consecutive odd numbers

= $\frac{a+(a+2)+(a+4)+(a+6)+(a+8)}{5} = \frac{5a+20}{5}$

But we given that the average of five consecutive odd numbers is 51

Therefore ,

$\frac{5a+20}{5} = 51$ ⇒a+4 = 51 ⇒a= 47

Step2:

Highest number = (a+8) = 47+8= 55

and lowest number = a= 47

So the difference between  highest and lowest = 55-47 = 8

Final answer :

Hence , 8 is the difference between highest and lowest numbers .