Question

sum of two consecutive even numbers is 550 .find the number​

Answer 1

498 and 22 mark me as brainlest
498+22=550

Answer 2

Answer:

Hola!!

This is not possible. The sum of [math]3[/math] consecutive even numbers is always divisible by [math]6[/math], but [math]554[/math] is not.

Let [math]x =[/math] middle even number. The other even numbers are [math]x - 2[/math] and [math]x + 2[/math]

[math](x - 2) + x + (x + 2) = 554[/math]

[math]3x = 554[/math]

[math]x = 184.\overline{6} \implies[/math] not an even number

However, [math]552[/math] is divisible by [math]6[/math], and therefore is the sum of [math]3[/math] consecutive even numbers:

[math](x - 2) + x + (x + 2) = 552[/math]

[math]3x = 552[/math]

[math]x = 184[/math]

[math]182 + 184 + 186 = 552[/math]

Next number that is the sum of [math]3[/math] consecutive even number:

[math]184 + 186 + 188 = 558[/math]

So we can clearly see that [math]554[/math] is not the sum of [math]3[/math] consecutive even numbers