The sum of 99 numbers is 1958. What will be the number required to add in this sum to get the averag

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27 Apr 2011 Average

The sum of 99 numbers is 1958. What will be the number required to add in this sum to get the average of all the numbers 20.7

OPtion

1) 108
2) 112
3) 118
4) 146
5) 179
6) 195
7) 230
8) 270
9) 298
10) 324

Solution

Average of 100 numbers = 20.7
Thus total
sum of 100 numbers = 2070
Sum of 99 numbers = 1958
New number = 2070 - 1958 = 112

Correct Option: 2 Best Solution (9)

YadeeshKumar   13 years AGO

20.7*100=2070
2070-1958=112

Like? Yes (5) | No (1)  

A J V   13 years AGO

Sum of 99 nos = 1958
Avg of 100 = 20.7
therefore, sum of 100 nos = 2070
so, the added number is, 2070 - 1958 = 112

Like? Yes (6) | No (2)  

KALPANA G   13 years AGO

1+2+3+..............+99=1958
(1+2+3+..............+99+x)/100 = 20.7
1958+x=2070
X=112

Like? Yes (3) | No   

raghunath reddy   13 years AGO

average of 100 numbers is 20.7
sum of 100 nubers ( 99 numbers + x new number ) = 20.7*100=2070
x=2070-sum of 99 numbers
x=2070-1958
x=112

Like? Yes (1) | No   

Avinash Gupta   13 years AGO

the average of (99+1=100) numbers is 20.7
i.e.total is 2070
so the required number to be added is=2070-1958=112

Like? Yes (1) | No   

Murthy Ch.v.v.s.s.s.   13 years AGO

1958+x/100=20.7; x=112

Like? Yes (1) | No   

Gajendra Yadav   13 years AGO

(1958+X)/100=20.7
X=112...........ANSWER

Like? Yes (1) | No   

Aakash Aggarwal   13 years AGO

20.7*100=2070
2070-1958=112

Like? Yes (1) | No   

abhishek   13 years AGO

formula
sum of all number / count of number= average
1958+x=20.7x100
x=112

Like? Yes (1) | No