SOLUTION: average of ? figures is 301 average of first five figures is 163 and average of last 5 figures is 430 find the value of the fifth figure Note-In very long process

Algebra.Com
Question 1130966: average of ? figures is 301 average of first five figures is 163 and average of last 5 figures is 430 find the value of the fifth figure
Note-In very long process

Answer by ikleyn(52877)   (Show Source): You can put this solution on YOUR website!
.

            As presented,  the post/(the problem) makes no sense,
            but the sense returns back if to edit the condition in this way

    Average of 9 figures is 301; average of first five figures is 163, and average of last 5 figures is 430. Find the value of the fifth figure.

            replacing the  " ? "  mark by the number  9.
            Also,  it helps very much if to replace the word  "figures"  by the word  "numbers".
            Now the solution is as follows.


Solution

Let the 9 numbers are , , , , , , ,   and  .


Then from the condition 

    P =  +  +  +  +  = 5*163   and

    Q =  +  +  +  +  = 5*430,



while

    R =  +  +  +  +  +  +  +  +  = 9*301.



Next, it is clear that  


    P + Q - R =  = 5*163 + 5*430 - 9*301,


and the last expression in the right side is equal to  256.


Answer.  At given conditions,    = 256.

Solved.



RELATED QUESTIONS

average of ? figures is 301 average of first five figures is 163 and average of last 5... (answered by ikleyn)
Average of 9 figures is 301 . The average of first 5 figures is 163 and average of last 5 (answered by Alan3354)
average of ? figures is 301 average of first five figures is 163 and average of last 5... (answered by ikleyn)
average of ? figures is 4301 average of first five figures is 163 and average of last 5... (answered by Alan3354)
Average of 21 figures is 21 . The average become 22 when one more figure is added find... (answered by Boreal)
The FAA now figures the average checked bag to weigh 15 pounds. This is up from a... (answered by rfer)
The FAA now figures the average checked bag to weigh 20 pounds. This is up from a... (answered by sunjr2007,MathTherapy)
The FAA now figures the average checked bag to weigh 29 pounds. This is up from a... (answered by Boreal,Alan3354)
The FAA now figures the average checked bag to weigh 25 pounds. This is up from a... (answered by Alan3354)