Question

The sum of three consecutive even numbers is 30. Find the numbers.

Please be quick as tomorrow is my maths exam....
Thanks

Answer 1

HEY DEAR ...

Answer:

8, 10 and 12

Explanation:

We can define an even number as 2x

Let 2x be the first even number

Let 2x+2 be the next even number

Let 2x+4 be the last one

Their sum is 30 so we write

2x+(2x+2)+(2x+4)=30

Combining like terms

6x+6=30

6x=24

x=4

So

2x=2(4)=8

2x+2=8+2=10

2x+4=8+4=12

HOPE , IT HELPS ...

Answer 2

Answer:

Step-by-step explanation:

Concept Introduction:

What are even numbers ?

The whole number which is divisible by $2$ ia called as even numbers.

What are consecutive numbers?

Numbers that are consecutive in  order from the smallest to the largest are called serial numbers. example: $1, 2, 3, 4, 5, 6,$ and so on are consecutive numbers.

Given Information:

The sum of three consecutive even numbers is $30$ .

To Find:

We have to find the numbers whose sum is $30$ .

Solution :

Consider the three consecutive integers are $x, x+2$ and $x+4$ .

So, According to the question the sum will be :

$x+(x+2)+(x+4)=30$

By solving this equation, we can get

$3x+6=30$

So, $x=8$

The numbers are $8, 10, 12$