Question

the sum of three consecutive even number is 78 find the number​

Answer 1

Answer:

Let the no. Be x, x+1,x+2

Then according to the question

x+x+1+x+2=78

3x+3=78

3x=78-3

x=75/3

x=25

I hope it will help you

Mark as branilist answer

_ _

_

Answer 2

Answer:

The three consecutive even numbers are $\boxed{\bf 24,26\text{\bf\ and }28}$.

Step-by-step explanation:

There are three consecutive even numbers.

Consider the first number as $2x$.

Since, the other two consecutive even numbers are $2x+2$ and $2x+4$.

It is given that the sum of first three consecutive even numbers is $78$.

As per the above statement the equation is formed as shown below:

$\begin{aligned}2x+(2x+2)+(2x+4)&=78\\6x+6&=78\\6x&=72\\x&=\dfrac{72}{6}\\x&=12\end{aligned}$

Therefore, the value of $x$ is $12$.

The three consecutive even numbers are calculated as shown below:

$\begin{aligned}2x&=2\times 12\\&=24\\2x+2&=24+2\\&=26\\2x+4&=24+4\\&=28\end{aligned}$

Therefore, the three consecutive even numbers are $\boxed{\bf 24,26\text{\bf\ and }28}$.