The sum of 2 consecutive integers is no more than 209. what is the larger of two integers?

You can write two consecutive integers as x and x+1.

So, if you want their sum to be smaller than 209, you must write

Subtract 1 from both sides:

Divide both sides by 2:

So, the two integers are 104 and 105, and their sum is indeed 209.

Note that 105 is the largest possible number. You may also pick smaller numbers, like 10 and 11, because their sum is 21, which is no more than 209.

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: