Question

Write an equation for each sentence then solve. The sum of two consecutive even numbers is thirty-four. What are the numbers? I just need to know the equation

Answer 1

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Required Solution :

Let the first even number be 'x' & the second even number be (x + 2)

According to the Question,

⇒x + (x + 2) = 34

⇒x + x + 2 = 34

⇒2x + 2 = 34

⇒2x = 34 - 2

⇒2x = 32

⇒x = 32/2

⇒x = 16

⇒First even number = x = 16

⇒Second even number = (x + 2) = 16 + 2 = 18

∴ The two consecutive even numbers are 16 & 18 ...!

Verefication :

As, In our Question it was given that "The sum of two consecutive even numbers is thirty-four". So, as we got our two consecutive even numbers as 16 & 18 ... By this, we can say that these both even numbers should be equals to 34, i.e., 16 + 18 = 34. Hence, The equation which we formed is correct ...!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Answer 2

The equation:

$x + ( x+ 2) = 34$

The solution:

$x + x + 2 = 34$

$2x + 2 = 34$

$2x = 34 - 2$

$2x = 32$

$x = \frac{32}{2}$

$x = 16$

The numbers would be 16 and 18.