Question

The units in Shante's apartment complex are consecutively numbered on each floor. The sum of her number and her next

door neighbor's number is 443. What is the larger of the two numbers?
Provide your answer below:

Answer 1

222

Explanation:

Let x be the number on Shante's doors. The units in Shante's apartment complex are consecutively numbered on each floor, so the number on next door is x+1.

The sum of these numbers is 443, then

`x+(x+1)=443\\ \\x+x+1=443\\ \\2x+1=443\\ \\2x=443-1\\ \\2x=442\\ \\x=221\\ \\x+1=221+1=222`

The larger of two numbers is 222.