Asked by Grand

The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six integers is 108. What is the value of the integer that was removed?

Answers

Answered by Damon
[ n+ (n+2) + (n+4) + .....(n+12) ] /7 = 16

[ (n+2) + (n+4) + .... (n+12) ] = 108
====================================
well, multiply the first one by 7
[ n+ (n+2) + (n+4) + .....(n+12) ] = 16*7 = 112
[ (n+2) + (n+4) + .... (n+12) ] = 108
------------------------------------------------subtract
n = 112 - 108
Answered by Damon
I read even numbers so increased by 2 each time. Just do increase by 1
same system, same answer
Answered by Grand
Thanks
Answered by Damon
You are welcome.
Answered by Reiny
Doesn't say anything about the numbers being in an arithmetic sequence

total of the seven numbers = 6(16) = 112
total of six numbers after one was removed = 108
number removed must have been 4
Answered by Poo
You guys smell like poo
Answered by Cassandra
No Arithmetic Sequence Involved In Solving Process

mean of seven positive integers = 16

Total Sum of Seven Numbers- 7 (16) = 112
Small Integer Removed - 108 (Mean)
112 - 108 = 4
The difference is equivalent to 4.

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