Question

The mean of 9 consecutive odd numbers is 13 what is the number

Answer 1

Step-by-step explanation:

9x+9/9=13

9x+9=117

9x=117-9

9x=108

x=12

Answer 2

The 9 consecutive odd numbers are 5,7,9,11,13,15,17,19,21

Step-by-step explanation:

• Given data

        The mean of 9 consecutive odd numbers is 13.

• We know two consecutive odd number are differ by 2.

        Let 9 consecutive odd number are given below

        X-8, X-6, X-4, X-2, X, X+2, X+4, X+6, X+8

• Then sum of these 9 odd number = 9 X    ...1)

• We know that

        Sum of N numbers = N × Mean of N number

        Where N =9     and Mean of 9 numbers = 13

• Sum of 9 consecutive odd numbers = 9 × 13        ...2)

• From equation 1) and equation 2)

        9 X = 9 × 13

        So

         X =13

• Then 9 consecutive odd number are given below

        X-8 = 13 -8 = 5

        X-6 = 13 -6 = 7

        X-4 = 13 -4 = 9

        X-2 = 13 - 2 = 11

        X = 13

        X+2 = 13 +2 = 15

        X+4 = 13 + 4 = 17

        X+6 = 13 + 6 = 19

        X+8 = 13 + 8 = 21