Question #20c54

1 Answer
Dec 1, 2017

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