Math, asked by sajida3280, 11 months ago

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

Answers

Answered by Anonymous
3

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.

Answered by ColinJacobus
1

\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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