Question

The sum of three consecutive even natural numbers is 60
Find the greatest of these numbers.

Answer 1

The greatest number is 22.

Step-by-step explanation:

The sum of three consecutive even natural numbers is 60.

So,

$= > 2n + 2(n + 1) + 2(n + 2) = 60$

$= > 6n + 6 = 60$

$= > n + 1 = 10$

$= > n = 9$

Then the greatest number is given by

$= > 2(9 + 2)$

$= > 2(11)$

$= > 22$

The greatest number is 22.

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The greatest even number is 22.}}}$

Step-by-step explanation:

Let n, n+2 and n+4 be three consecutive even natural numbers.

Then, according to the given information, we have

$n+(n+2)+(n+4)=60\\\\\Rightarrow 3n+6=60\\\\\Rightarrow 3n=54\\\\\Rightarrow n=\dfrac{54}{3}\\\\\Rightarrow n=18.$

Therefore, the greatest number is

$n+4=18+4=22.$

Thus, the greatest even number is 22.

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