1.

There Are 6 Consecutive Odd Numbers. The Difference Between The Square Of The Average Of The First Three Numbers And The Square Of The Average Of The Last Three Numbers Is 288. What Is The Last Odd Number ?

Answer»

LET the 6 CONSECUTIVE odd no.’s are:

X, X+2, X+4, X+6, X+8, X+10

Avg. of 1st three no’s is X+2.

Avg. of LAST three no’s is X+8.

Given that (X+8)2-(X+2)2=288

X=19

Last Odd no. is X+10= 29.

Let the 6 consecutive odd no.’s are:

X, X+2, X+4, X+6, X+8, X+10

Avg. of 1st three no’s is X+2.

Avg. of Last three no’s is X+8.

Given that (X+8)2-(X+2)2=288

X=19

Last Odd no. is X+10= 29.



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