## The sum of three consecutive natural number is 24, find the second number out of these numbers.

Question

The sum of three consecutive natural number is 24, find the second number out of these numbers.

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1 month 2021-08-14T14:04:52+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Let the consecutive numbers be x , ( x +1 ) and ( x + 2 ) respectively

Given:

x + x + 1 + x + 2 = 24

3x + 3 = 24

3x = 21

x => 7

——–Numbers are 7 , 8 and 9 respectively.

2. Step-by-step explanation:

Let 2n = the first even number, where n is an integer, and …

Let 2n + 2 = the second consecutive even number, and

Let 2n + 4 = the third consecutive even number.

Since the sum of the three unknown consecutive even numbers is 24, we can write the following equation to be solved for n as follows:

2n + (2n + 2) + (2n + 4) = 24

2n + 2n + 2 + 2n + 4 = 24

2n + 2n + 2n + 2 + 4 = 24

Collecting like-terms on the left, we get:

6n + 6 = 24

6n + 6 – 6 = 24 – 6

6n + 0 = 18

6n = 18

(6n)/6 = 18/6

(6/6)n = 18/6

(1)n = 3

n = 3

Therefore, …

2n = 2(3) = 6 and

2n + 2 = 6 + 2 = 8 and

2n + 4 = 6 + 4 = 10

CHECK:

2n + (2n + 2) + (2n + 4) = 24

6 + (8) + (10) = 24

6 + 8 + 10 = 24

14 + 10 = 24

24 = 24