Question

The sum of three consecutive even numbers is 28 more than the average

Answer 1

Answer:

the nos are: -16, -14, -12

Step-by-step explanation:

Let the nos be 2x, 2(x+1) and 2(x+2), as the nos r even and consecutive

ATQ,

2x+2(x+1)+2(x+2)+28={2x+2(x+1)+2(x+2)}/3

2x+2x+2+2x+4+28=(2x+2x+2+2x+4)/3

6x+34=(6x+6)/3

2(3x+17)= 6(x+1)/3

2(3x+17)= 2(x+1)

3x+17=x+1

2x=-16

x=-8

hence the nos are-

2x= 2*(-8)= -16

2(x+1)=2*(-8+1)=2*(-7)= -14

2(x+2)=2*(-8+2)=2*(-6)= -12