Question

The average of five consecutive odd numbers is 61. what is the difference between the highest and lowest numbers

Answer 1

Answer:

8

Step-by-step explanation:

Let the numbers be 2x+1, 2x+3, 2x+5, 2x+7 and 2x+9, as they are consecutive odd nos.

ATQ,

{2x+1+2x+3+2x+5+2x+7+2x+9}/5 = 61

(10x+25)/5= 61

5(2x+5)/5 = 61

2x+5=61

2x=56

x=28

hence, the nos are=

2x+1= 2*28+1=57

2x+3= 2*28+3=59

2x+5= 2*28+5=61

2x+7= 2*28+7=63

2x+9= 2*28+9=65

The difference bw the highest and lowest no. is (65-57)=8