what could be its answer
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Answered by
8
Let the first number of consecutive series be x
=> second number = x + 1
third number = x + 2
So the 15th number would be x + 14
Given, their average is 15
=> (x + x + 1 + ........ x + 14)/ 15 = 15
=> (x + x + 1 + ....... x + 14 ) = 225
Now,
There would be 15 x and the sum of constant term would be :-
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14
= 105
So,
(x + x + 1 + ........ x + 14) = 225
=> 15x + 105 = 225
=> 15x = 225 - 105
=> 15 x = 120
=> x = 120/15
=> x = 8
So first five numbers of this set would be
x + x + 1 + ...... x + 4
=> 8 + 9 + 10 + 11 + 12
Average =
(8 + 9 + 10 + 11 + 12)/5
=> 50/5
= 10
10 is your answer
=> second number = x + 1
third number = x + 2
So the 15th number would be x + 14
Given, their average is 15
=> (x + x + 1 + ........ x + 14)/ 15 = 15
=> (x + x + 1 + ....... x + 14 ) = 225
Now,
There would be 15 x and the sum of constant term would be :-
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14
= 105
So,
(x + x + 1 + ........ x + 14) = 225
=> 15x + 105 = 225
=> 15x = 225 - 105
=> 15 x = 120
=> x = 120/15
=> x = 8
So first five numbers of this set would be
x + x + 1 + ...... x + 4
=> 8 + 9 + 10 + 11 + 12
Average =
(8 + 9 + 10 + 11 + 12)/5
=> 50/5
= 10
10 is your answer
sawaschinbhuyan1:
thats the right answer
Answered by
3
Let 15 consecutive number be
=x,x+1,x+2,x+3,x+4,x+5,x+6,x+7,x+8,x+9,x+10,x+11,x+12,x+13,x+14,x+15.
(For your information consecutive numbers means number comes in series .Means if x=1
Then consecutive be X+1 means 1+1=2 hope you understand)
Back to question
Average=15
Average=sum of total numbers/total numbers
A/Q
![\frac{x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7 + x + 8 + x + 9 + x + 10 + x + 11 + x + 12 + x + 13 + x + 14 }{15} = 15 \\ \frac{15x + 105}{15} = 15 \\ 15x + 105 = 15 \times 15 \\ 15x = 225 - 105 \\ x = 120 \div 15 \\ x = 8 \frac{x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7 + x + 8 + x + 9 + x + 10 + x + 11 + x + 12 + x + 13 + x + 14 }{15} = 15 \\ \frac{15x + 105}{15} = 15 \\ 15x + 105 = 15 \times 15 \\ 15x = 225 - 105 \\ x = 120 \div 15 \\ x = 8](https://tex.z-dn.net/?f=+%5Cfrac%7Bx+%2B+x+%2B+1+%2B+x+%2B+2+%2B+x+%2B+3+%2B+x+%2B+4+%2B+x+%2B+5+%2B+x+%2B+6+%2B+x+%2B+7+%2B+x+%2B+8+%2B+x+%2B+9+%2B+x+%2B+10+%2B+x+%2B+11+%2B+x+%2B+12+%2B+x+%2B+13+%2B+x+%2B+14+%7D%7B15%7D+%3D+15+%5C%5C+%5Cfrac%7B15x+%2B+105%7D%7B15%7D+%3D+15+%5C%5C+15x+%2B+105+%3D+15+%5Ctimes+15+%5C%5C+15x+%3D+225+-+105+%5C%5C+x+%3D+120+%5Cdiv+15+%5C%5C+x+%3D+8)
First five numbers
If x=8
Then consecutive numbers are
=8,9,10,11,12
By adding 1 on value of x
AVERAGe=8+9+10+11+12/5
=50/5
=10
AVERAGE=10
If not right report.
If right then thanks me
=x,x+1,x+2,x+3,x+4,x+5,x+6,x+7,x+8,x+9,x+10,x+11,x+12,x+13,x+14,x+15.
(For your information consecutive numbers means number comes in series .Means if x=1
Then consecutive be X+1 means 1+1=2 hope you understand)
Back to question
Average=15
Average=sum of total numbers/total numbers
A/Q
First five numbers
If x=8
Then consecutive numbers are
=8,9,10,11,12
By adding 1 on value of x
AVERAGe=8+9+10+11+12/5
=50/5
=10
AVERAGE=10
If not right report.
If right then thanks me
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