Math help please

Question

find three consecutive even integers such that the sum of the least integer and the middle integer is 28 more than the greasiest integer

Answer 1

Hi Kayla,

 

We can express three consecutive even integers as:

 

n

n + 2

n + 4

 

We add multiples of two in this manner because we skip every other integer.

 

We need to translate the following phrase from English to Algebra:

"the sum of the least integer and the middle integer is 28 more than the greasiest integer"

 

n + (n + 2) = (n + 4) + 28

 

We can now solve this equation for n, and then determine the three integers.

 

n + (n + 2) = (n + 4) + 28

 

then

 

2n + 2 = n + 32

 

n = 30

 

So, the three numbers are 30, 32, 34

 

Let's test the above phrase:

Is 30 + 32 = 34 + 28?

 

62 = 62. Yes