Question

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

Answer 1

Step-by-step explanation:

Let the numbers be x, x+2, x+4, x+6 and x+8. So the difference is 8. The average of five consecutive odd numbers is 61.

Answer 2

Answer:

Let the numbers be (x+1) (x+3) (x+5) (x+7) (x+9)  

Its average is 61 so,  

⇒ x+1+x+3+x+5+x+7+x+9/5 =61  

⇒ 5x+25/5 =61  

⇒ 5x+25 =61 × 5  

⇒ 5x+25=305  

⇒ 5x=305–25  

⇒x=280/5  

⇒ x=56  

⇒ Lowest number  is x+1 so, 56+1 =57  

⇒ Highest number  is x+9 so, 56+9=65

Therefore , 65–57=8  

The difference is 8.

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