Debbieoso Debbieoso
  • 13-01-2021
  • Mathematics
contestada

Write down three integers,all less than 25,whose range is 8 and mean is 11.

Respuesta :

Dirtyfacebabyaj
Dirtyfacebabyaj Dirtyfacebabyaj
  • 13-01-2021

let

x------> the first integer

y------> the second integer

z-----> the third integer

x < y < z < 25

we know that

Median=13

Median=(x+y+z)/3

13=(x+y+z)/3

x+y+z=39------> equation 1

range=10

The range is the difference between the largest number within the set and the smallest number in the set

so

range=z-x

z-x=10------> z=x+10-----> equation 2

to find the solution we will assume different values ​​of x (See the attached table)    

terms

x < y < z < 25

z=x+10

y=39-z-x

The solution can be

7,15,17

8,13,18

9,11,19    

Answer Link

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