Question

The sum of three consecutive even number is 78 . Find the other

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


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Answer 2

let the three consecutive numbers be X,X+2,X+4.

⊙(X)+(X+2)+(X+4)=78

⊙3X+6=78

⊙3X=78-6=72

⊙3X=72

⊙X=72/3=24

⊙X=24

⊙so the three numbers we taken are X,X+2,X+3

⊙X=24. X+2=26. X+4=28.

so the three consecutive even numbers are 24,26,28.

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