Question

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

Answer 1

Answer:

let the first number be x

other consecutive number=(x+1),(x+2),(x+3),(x+4),(x+5)

Now

x+x+1+x+2+x+3+x+4/5=61

5x+10=61×5

5x=305-10

5x=295

x=295/5

x=59

Highest Number=(x+5)=59+5=64

lowest number=59

Difference=64-59=5

Answer 2

Step-by-step explanation:

Let the 1st consecutive odd numbers = x

2nd consecutive odd numbers = x+3

3rd consecutive odd numbers = x+5

4th consecutive odd numbers = x+7

5th consecutive odd numbers = x+9

Sum of all observation = x+(x+3)+(x+5)+(x+7)+(x+9)

= 5x + 24

Number of observation = 5

Average = Sum of all observation / Number of

observation

61 = 5x + 24 / 5

305 = 5x + 24

305 -24 = 5x

281 = 5x

x = 56.2

Highest number = x+9 = 56.2 + 9

= 65.2

Lowest number = x =56.2

Differences of it = 65.2-56.2 = 9

I hope you like it and mark brainliest answer