Question

The sum of 3 consecutive even numbers is 78 . What is the second number in this sequence?

Answer 1

26

Explanation:

The sum of 3 consecutive even numbers is 78 . What is the second number in this sequence?

Use this equation:

3x + 2 + 4 = 78

3x + 6 = 78

3x + 6 - 6 = 78 - 6

3x = 72

3x/3 = 72/3

x = 24 is the first number

24 + 2 = 26 which is the second even number

26 + 2 = 28 which is the third even number in the sequence.

check:

24 + 26 + 28 = 78, correct

Answer 2

Second Number = 26

Explanation:

Let the first even number = x

then the second number will be = x+2
and the third = x+2+2 = x+4

Now it is given that the sum of the 2 numbers = 78

∴
`x+(x+2)+(x+4)=78`

⇒
`3x+6 = 78`

⇒
`3x = 72`

⇒
`x = 24`

We are asked for the second number = x+2 = 24+2 = 26

THank You :)