Question

The average of four consecutive odd numbers p, q, r, and s respectively (in increasing order) is 104. What is the sum of p & s?

Answer 1

Answer:

it's 208

hope it helps you thanks

Step-by-step explanation:

let the numbers be 2x+1,2x+3, 2x+5, 2x+7

given Average 104

(8x+16)/4=104

2x+4=104

x=50

2x+1+2x+7=4x+8

=4×50+8=208

Answer 2

The sum of p & s is 208.

Step-by-step explanation:

It is given that the average of four consecutive odd numbers p, q, r, and s respectively (in increasing order) is 104.

Let the four consecutive odd numbers are x, x+2, x+4, x+6 respectively.

$Average=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

$104=\dfrac{x+(x+2)+(x+4)+(x+6)}{4}$

$104=\dfrac{4x+12}{4}$

$104=x+3$

$104-3=x$

$101=x$

the value of x is 101.

$p=101$

$q=101+2=103$

$r=103+2=105$

$s=105+2=107$

The sum of p & s is

$p+s=101+107=208$

Therefore, the sum of p & s is 208.

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