Question

The sum of three consecutive even numbers is 78. find the number​

Answer 1

Explanation:

Since there is a

difference of 2

between even numbers then.

We can generalise the sum of 3 consecutive even numbers as follows.

Let the 3 even numbers be :

n,n+2,n+4

⇒n+(n+2)+(n+4)=78

←

equation to be solved

⇒

3n+6=78

subtract 6 from both sides.

3n+6−6=78−6

⇒3n=72

To solve for n, divide both sides by 3

3n/3=72/3

⇒

n=24

←

first even number

n+2=24+2=26

←

second even number

n+4=24+4=28

←

third even number

Check:

24

+

26

+

28

=

78

Answer 2

Step-by-step explanation:

1st number is x

second number is x+1

third number is x+2

therefore

x+x+1+x+2 = 78

3x+3 =78

3x=75

x=75÷3

x=25