Question

The mean of three number is 38, the data range 31.the number is middle is 20 lesss than the sum of other 2 number. what is the largest

Answer 1

Step-by-step explanation:

x+y+z/3 =38

x+y+z=38×3= 114____(1)

y= (x+z)-20____(2)

putting eq 2 in 1

x+ (x+z) +z -20= 114

2(x+z)=114+20

x+z= 134/2

x+z= 67____(3)

put value in eq 2

y= 67-20 =47

range= x-z=31____(4)

Equate eq 4 and 3

2x= 78

x=39

from eq 1

39+47+z=114

z=114 - 86

z=28

x,y,z =39,47,28

largest number is y =47