Question

Average of two numbers is 14.5 and square root of their product is 10. What are the numbers

Answer 1

Hey mate !!

Answer:

( x , y ) = ( 25 , 4 ) or ( 4 , 25 )

Step-by-step explanation:

[ Refer the attachment ]

Answer 2

The numbers are 4 and 25

Step-by-step explanation:

Let the two numbers be x and y

Average of two numbers is 14.5

$Average = \frac{\text{Sum of two numbers}}{\text{No. of observations}}$

$14.5= \frac{x+y}{2}\\14.5 \times 2 = x+y\\29=x+y$

The square root of their product is 10

$\sqrt{xy}=10$

$xy=10^2\\xy = 100$

$y = \frac{100}{x}$

So, $x+y=29\\x+\frac{100}{x}=29\\x^2+100=29x\\x^2-29x+100=0\\(x-4)(x-25)=0\\x=4,25$

Hence the numbers are 4 and 25

#Learn more :

The average of 10 numbers is 13.7. if the average of first five numbers is 12.4 ,and the average of last six numbers is 14.5, what is the 5th number?

https://brainly.in/question/3534568