What is the average of eleven consecutive integers?
1) average of first 9 integers is 7
2) average of last 9 integers is 9
The consecutive integers could either be of the increasing sequence or the decreasing sequence.
I neglected to include decreasing sequence.
However, I think you may have made a mistake in your working.
In the decreasing sequence, (1) it should be 9x - 54 = 63 ==> x = 13
So the first term is still 3.
Similar working for (2)
I am not able to find the mistake.
Increasing seq-> x,x+1,x+2,x+3,x+4,x+5,X+6,X+7,X+8,X+9,X+10.
Decreasing seq-> x,X-1,X-2,X-3,X-4,X-5,X-6,X-7,X-8,X-9,X-10
From stmt1 we get 2 equn
a) For increasing 9x+36 = 63 => 9x = 27 => x= 3
b) For decreasing 9x - 36 = 63 => 9x = 99 => X = 11
From stmt we get 2 equn
a) For incresing 9x+54=81=> 9x= 27 => x = 3
b) For decreasing 9x - 54 = 81=> 9x = 135 => x = 15
So comibing it is still 3.
If you have time can you tell me where am i making a mistake.
Thanks a ton.