Latest GRE Aptitude Question SOLUTION: the average of 2 natural numbers is 10.One of the two numbers is then picked at roandom and multiplied by 2.The new average of the 2 numbers is?

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(#M40038357) GRE Numerical Ability question averages Keep an EYE

the average of 2 natural numbers is 10.One of the two numbers is then picked at roandom and multiplied by 2.The new average of the 2 numbers is?

Asked In GRE tejaswi (9 years ago)

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Janhavi  (9 years ago)

avg of x any y is 10 means x+y=20.
consider x is doubled.
new avg will be (2x+y)/2 = (2x+20-x)/2 = (x/2)+10
consider y is doubled.
new avg will be (y/2)+10
In short, old avg is 10 and new avg is = 10 + (random no picked/2)

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raju  (9 years ago)

avg of 2 natural no is 10 means no are 9 and 11
now either of 9 and 11 is doubled

avg :: (9+22)/2=15.5 or (18+11)/2=14.5

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sunil kumar  (9 years ago)

let the two numbers be x and y

(x+y)/2=10

now suppose we multiply x by 2
L.H.S.
=> (2x+y)/2
=> ((2x/2) + (y/2))

it can be written as

=> ((x/2)+(x+2)+(y/2))

as it is given that ((x/2)+(y/2))=10

=> new average = (10 + (x/2))

similarly if instead of x we would have multiplied y by 2

then new average would be 10 + (y/2)

x can be written as

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