Latest Wipro Aptitude Question SOLUTION: The average set of numbers is 46, if 4 numbers whose average is 52 are subtracted from this set,the average becomes 44.5.find the original number in the set

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(#M40023789) WIPRO Numerical Ability question unsolved Keep an EYE

The average set of numbers is 46, if 4 numbers whose average is 52 are subtracted from this set,the average becomes 44.5.find the original number in the set

Asked In Wipro deepanya.m (10 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Rats  (10 years ago)

Let there are N numbers in the 1st set.
So, Xn/N=46 (where Xn=sum of n terms)
=> Xn=46N
and second set
X4/4=52 (where X4=sum of 4 terms)
=> X4=208
So, acc. to problem
(Xn-X4)/(N-4)=44.5
(46N-208)=44.5(N-4)
46N-208=44.5N-178
1.5N=30
N=20........Ans
So there are 20 numbers in the set.

Is this solution Helpfull? Yes (20) | No   

Suresh Sapa  (10 years ago)

let us consider total no.s in a set be 'n'.
sum of set= 46 * n.
46*n-4*52=44.5*(n-4)
=> 46n-208=44.5n-178
=> 1.5n=30 =>n=20.
hence, total no.s in a set is 20

Is this solution Helpfull? Yes (5) | No   

RITURAJ SUMAN  (10 years ago)

(((4+x)46)-(52*4))/x=44.5
=>x=16
original number = x+4 = 16+4= 20.

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