Question

the sum 3 consecutive even numbers is 24.
Find the numbers.​

Answer 1

Given:

The sum 3 consecutive even numbers is 24.

To find:

The value of the even numbers

Solution:

Let the 3 consecutive even numbers are

x-2, x and x+2

as per the given condition of the question

The sum of the given numbers is 24

then the equation is given by:

• x-2+x+x+2 = 24
• 3x = 24
• x = 8

So the even numbers are:

• x-2 = 8-2 = 6
• x = 8
• x+2 = 8+2 = 10

So the even numbers are 6, 8, and 10

Answer 2

SOLUTION

GIVEN

The sum 3 consecutive even numbers is 24.

TO DETERMINE

The numbers

EVALUATION

An even is of the form 2n where n is an integer

Let 3 consecutive even numbers are

2n , ( 2n + 2 ) & ( 2n + 4 )

So by the given condition

$\sf{2n + (2n + 2) + (2n + 4) = 24}$

$\implies\sf{6n +6 = 24}$

$\implies\sf{6n = 24 - 6}$

$\implies\sf{6n = 18}$

$\implies\sf{n = 3}$

Hence

First number = 2 × 3 = 6

Second number = ( 2 × 3 ) + 2 = 6 + 2 = 8

Third number = ( 2 × 3 ) + 4 = 6 + 4 = 10

FINAL ANSWER

Hence the required 3 consecutive even numbers are 6 , 8 , 10

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