Question

The sum of three consecutive even numbers is 42.find the number

Answer 1

Answer:

12, 14 and 16

Step-by-step explanation:

Let the three consecutive even numbers be x, x + 2 and x + 4

Given, their sum = 42

According to the question,

x + x + 2 + x + 4 = 42

=> 3x + 6 = 42

=> 3x = 42 - 6

=> 3x = 36

=> x = $\dfrac{36}{3}$

=> x = 12

1st number => x

=> 12

2nd number => x + 2

=> 12 + 2

=> 14

3rd number => x + 4

=> 12 + 4

=> 16

Answer 2

Answer:

12, 14 and 16

Step-by-step explanation:

Let the three even numbers be x, x+2, x+4

Now it is given that their sum is 42

⇒ x + x + 2 + x + 4 = 42

⇒ 3x + 6 = 42

⇒ 3x = 42 - 6

⇒ 3x = 36

⇒ x = 36 / 3 = 12

Hence the first even term is 12.

The other terms are:

⇒ x + 2 = 12 + 2 = 14

⇒ x + 4 = 12 + 4 = 16

So the consecutive terms are 12, 14 and 16