Question

the sum of 2 consecative even numbers is 14. find the numbers. ​

Answer 1

Answer :-

• The required numbers are 6 and 8.

Step-by-step explanation ::

To Find :-

• The numbers

Solution :-

Given that,

• The sum of two consecutive numbers = 14

Assumption:

Let us assume the two consecutive numbers as y and y + 12,

Therefore,

• y + ( y + 2 ) = 14

➠ y + ( y + 2 ) = 14

➠ y + y + 2 = 14

➠ 2y + 2 = 14

➠ 2y = 14 - 2

➠ 2y = 12

➠ y = 12/2

➠ y = 6

The numbers are:

• The number which we assumed as y

➠ y

➠ 1*6

➠ 6

• The number which we assumed as y + 2

➠ y + 2

➠ 6 + 2

➠ 8

Therefore, the required numbers are 6 and 8.

Now, Verification

• y + ( y + 2 ) = 18 ----- Given

We have,

• L.H.S = y + ( y + 2 )
• R.H.S = 18

Putting, the values of the numbers y and y + 2 :-

➠ y + y + 12

➠ 6 + 8

➠ 14

Therefore, L.H.S = 14, and R.H.S = 14

So, L.H.S = R.H.S

Hence, Verified!