Question

TWO SMALLEST CONSECUTIVE EVEN INTEGERS WHOSE SUM IS AT LEAST 51

Answer 1

let one number be X and another be X + 3
then X + X + 3 = 51
then 2 X + 3 = 51
then 2x = 48
then X = 24 therefore two consecutive numbers are 24 and 26

Answer 2

Given,

The sum of the consecutive even integers is at least 51.

To find,

The two smallest consecutive even integers.

Solution,

Consecutive integers are the integers that are one after the other.

Let's consider the first even number to be x.

Therefore, our consecutive even number becomes x+2.

Given that the sum of these two consecutive even numbers will be at least 51.

This means that the sum can be greater than or equal to 51.

⇒ x + x + 2 >= 51

⇒ 2x >= 51 - 2

⇒ 2x >= 49

⇒ x >= $\frac{49}{2}$

⇒ x >=24.5

The closest even number which is greater than 24.5 is 26.

Therefore, our x will be 26 and the consecutive even integer will be x+2 that is 26+2 = 28.

Hence, the two consecutive even integers whose sum is at least 51 are 26 and 28.