Question

the sum of four consecutive even numbers is 27 more than the average of these four numbers. Then the second largest number is

1. 6
2. 8
3. 10
4. 12​

Answer 1

consecutive even numbers=x+2,x+4,x+6,x+8

their average=(x+2+x+4+x+6+x+8)/4

=(4x+20)/4

=x+5

(x+2)+(x+4)+(x+6)+(x+8)=27+(x+5)

4x+20=32+x

3x=12

x=4

hence that numbers are,

6,8,10,12

The second largest number is 8

hence option 2 is correct.