Question

the average of 15 numbers is equal to the average of the 16 numbers. hence the 16th number is​

Answer 1

Answer:

Average of five numbers is 16

a+b+c+d+e/5 = 16

a+b+c+d+e = 16*5 = 80

Average of three numbers(a,b&c) is 10

a+b+c/3 = 10

a+b+c = 10*3 = 30

Using above eqn

a+b+c+d+e = 80

30+d+e= 80

d+e /2 = 25 (Average of remaining two numbers)

Step-by-step explanation:

Bro method h yeh aap answer apne aap se nikalo practice hojayegi aapki

Answer 2

Answer:

The 16th term is the average of 15 numbers or the average of 16 numbers.

Step-by-step explanation:

Given that the average of 15 numbers = Average of 16 numbers

Let the average be 'x'

We know that Average = $\frac{Sum of terms}{No. of terms}$

Therefore, according to the condition,

$\frac{S_{15}}{15}$ = $\frac{S_{16}}{16}$ = x

where S₁₅ is the sum of 15 numbers

S₁₆ is the sum of 16 numbers

=> $\frac{S_{15}}{15}$ = x

=> S₁₅ = 15x

We also know that  $\frac{S_{16}}{16}$ = x

=> S₁₆ = 16x

=> S₁₅ + 16th term = 16x

=> 15x + 16th term = 16x

=> 16th term = 16x - 15x

=> 16th term = x

Therefore, the 16th term is the average of 15 numbers or the average of 16 numbers.