Question

The average of 3 consecutive even number is A. If next 5 even number are added,then what is the average of these 8 number?

Answer 1

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The average of 3 consecutive even number is A. If next 5 even number are added,then what is the average of these 8 number?

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Consider 3 consecutive number as :

x , x+2 & x+4

Average of 3 number is a

so ,

$= \frac{x + x + 2 + x + 4}{3} = a$

$\frac{3x + 6}{3} = a$

$x + 2 = a$

$x = a - 2$

Next five even numbers will be

x+6,x+8,x+10,x+12,x+14

then

➣$\frac{x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + 12 + x + 14}{8}$

➣$\frac{8x + 56}{8} \\ x + 7$

Substituting x=a-2 in x+7

so,

➣$a - 2 = 7$

➣$average \: of \: 8 \: consecutive \: number \\ = a + 5$

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