Question

Question #20c54

Answer 1

The two consecutive integers are `32 and 33`

Explanation:

Let's say these two consecutive integers are `x and y`. Now, the equation `4(x+y)=260` holds true given the question.

To isolate `x and y`, we can divide both sides by `4`.

`(4(x+y))/4=260/4`

`= (x+y) = 65`

Now, by trial and error we can deduce the only two consecutive integers (e.g. 1, 2) that sum together to equal `65` are `32 and 33`

Now, putting them back into the equation should give us the golden answer of 260, given our proof is sound.

`4(32+33) = 260`

Therefore, the two consecutive integers are `32 and 33`