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

The equation:

`x + ( x+ 2) = 34`

The solution:

`x + x + 2 = 34`

`2x + 2 = 34`

`2x = 34 - 2`

`2x = 32`

`x = (32)/(2)`

`x = 16`

The numbers would be 16 and 18.

Answer 2

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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 ...!

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