the average of six numbers is 65. the average of five of them is 72. find the sixth number
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3
Answer:
The average of five numbers is 72, so the total is 5*72 = 360
Call the sixth number x
(360 + x)/6 = 65
360 + x = 390
x = 30
Step-by-step explanation:
Answered by
1
Step-by-step explanation:
let the sum of six number is (x1+x2+x3+x4+x5+x6)
it's average is ( x1+x2+x3+x4+x5+x6 )/6
and the average of 5 numbers is
( x1+x2+x3+x4+x5 )/5 = 72
x1+x2+x3+x4+x5 = 72 ×5 = 360
the average of six numbers is ( x1+x2+x3+x4+x5+x6 )/6 = 65
so, (360+ x6)/6 = 65
360+x6 = 390
this implies x6 = 30
so the sixth number is 30..
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