Question

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

Answer 1

Let the numbers be $x,x+2,x+4$ and $x+6$ then

$\frac{x+x+2+x+4+x+6}{4}=27$

$\Rightarrow \frac{4x+12}{4}=27$

$\Rightarrow x+3=27$

$\Rightarrow x=27-3=24$

$\therefore$ the largest number$=x+6=24+6=30$