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If the mean of the numbers 27+x, 31+x, 8...

If the mean of the numbers 27+x, 31+x, 89+x, 107+x, 156+x is 82, then the mean of 130+x, 126+x, 68+x, 50+x, 1+x is

A

75

B

157

C

82

D

80

Text Solution

Verified by Experts

The correct Answer is:
A
Given
`82=((27+x)+(31+x)+(89+x)+(107+x)+(156+x))/(5)`
`implies 82xx5=410+5x`
`implies 410-410=5x`
`implies x=0`
Therefore, the required mean is
`overline =(130+x+126+x+68+x+50+x+1+x)/(5)`
`=(375+5x)/(5)=(375+0)/(5)=(375)/(5)=75`
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