Solve.
-The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 330, find the house numbers.
A)164, 328
B)164, 166
C)165, 167
D)163, 165

Question

Quizplus · Accepted Answer

Let x be the smaller even number (house number) and x+2 be the larger even number (house number). Then we have:
x + (x+2) = 330
2x + 2 = 330
2x = 328
x = 164
So the smaller even number is 164 and the larger even number is 166, which are the house numbers of the two adjacent homes. Therefore, the answer is B. Let's call the house numbers x and x+2 (since they are consecutive even numbers). 
We know that x + (x+2) = 330 (since their sum is 330). 
Simplifying this equation, we get: 
2x + 2 = 330 
2x = 328 
x = 164 
So one house number is 164, and the other is 166 (since they are consecutive even numbers). 
Therefore, the answer is B)164, 166.

Solve. -The House Numbers of Two Adjacent Homes Are Two Consecutive