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For a set of five positive integers, none greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x and x are the five integers, what is the value of x?

 Nov 6, 2019

Best Answer 

 #1
avatar+276 
+2

The numbers are 31, 58, 98, x, and x.
The mode, M, is x since it's repeated twice.
The mean, A, is 

a= (31+58+98+2x)/5

(187+2x)/5=3/2x

(187+2x)=15/2x

2(187+2x)=15x

374+4x=15x

11x=374

x=34



 

 Nov 6, 2019
 #1
avatar+276 
+2
Best Answer

The numbers are 31, 58, 98, x, and x.
The mode, M, is x since it's repeated twice.
The mean, A, is 

a= (31+58+98+2x)/5

(187+2x)/5=3/2x

(187+2x)=15/2x

2(187+2x)=15x

374+4x=15x

11x=374

x=34



 

tomsun Nov 6, 2019

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