Question

5. (i) The sum of two consecutive even integers is 54. Find the integers.​

Answer 1

Answer:

Let the numbers be x and x+2

A/Q,

x + (x+2) = 54

=> x + x + 2 = 54

=> 2x + 2 = 54

=> 2x = 54 - 2

=> 2x = 52

=> x = 52/2

=> x = 26

Now,

1. x = 26

2. x+2 = 26 + 2

= 28

So, the two consecutive even integers are 26 and 28.

HOPE IT HELPS YOU MATE

Answer 2

The two consecutive even integers are 26 and 28

Given : The sum of two consecutive even integers is 54.

To find : The two consecutive even integers.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to find the integers)

Let, the first even integer = x

So, the consecutive even integer = x+2 (difference between two consecutive even integers is always 2)

Their sum = x + x + 2 = 2x + 2

According to the data mentioned in the question,

2x + 2 = 54

2x = 54-2

2x = 52

x = 52/2

x = 26

The first even integer = x = 26

The second even integer (consecutive to the first even integer) = x+2 = 26+2 = 28

(These will be considered as the final results.)

Hence, the two consecutive even integers are 26 and 28