Question

The average of 7 consecutive even number is 24.find the smallest number

Answer 1

Think he smallest number is X then...X+(X+1)+(X+2)+(X+3)+(X+4)+(X+5)+(X+6)=24*7
7X+21=168
7X=147
X=21..
So the smallest number is 21

Answer 2

Let the smallest number = x

The other 6 numbers are (x + 1), (x + 2), (x + 3), (x + 4), (x + 5) and (x + 6)

Find the sum of the 7 numbers:

Average = 24

Sum = 24 x 7 = 168

Solve x:

x + (x + 1) +  (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 168

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 168

7x + 21 = 168

7x = 147

x = 21

Answer: The smallest number is 21