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Question

The average of four consecutive even numbers is 27. The largest of these numbers is?


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Solution

Let x-2,x,x+2,x+4 be the four consecutive even numbers.

Given that the average of four consecutive even numbers is 27.

We know that,

Average=totalsumtotalnumbers

27=x-2+x+x+2+x+4427×4=x-2+x+x+2+x+4108=4x+4180=4x+11084=x+127=x+1x=27-1=26

Thus, the four consecutive numbers are,

x-2=26-2=24x=26x+2=26+2=28x+4=26+4=30

Hence, the largest of these numbers is 30.


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