Question

find two consecutive even numbers whose sum is 502​

Answer 1

Step-by-step explanation:

Let the. two consecutive even numbers be 2x and 2x + 2

2x + 2x + 2 = 502

4x + 2= 502

x = 500/ 4

x = 125

Thus the two numbers are 2x = 2 (125) = 250 and 2x + 2 =2 (125) +2 = 252

Answer 2

Given:

Sum of two consecutive even numbers = 502

To find:

The two numbers

Solution:

Let the first even number be x.

Let the second consecutive even number be (x+2).

Now, as we are given that sum of both the numbers is 502, so the equation formed is as follows:

x + (x+2) = 502

x+x+2 = 502

2x+2 = 502

2x = 502-2

2x = 500

x = $\dfrac {500}{2}$

$\boxed {\sf {\red {x=250}}}$

Verification:

On substituting the value of x as 250 in the equation,

x + (x+2) = 502

250+(250+2) = 502

250+252 = 502

502 = 502

LHS = RHS

Hence Verified!

Final answer:

The first even number = x

= 250

The second consecutive even number = (x+2)

= (250+2)

= 252

$\boxed {\sf {\blue {Therefore\ the\ two\ consecutive\ even\ numbers\ whose\ sum\ is\ 502\ are\ 250\ and\ 252.}}}$