Question

12 times the middle of three consecutive even numbers is 152 more than 8 times the smallest of the three numbers. What is the middle number?

• A. 34
• B. 35
• C. 33
• D. 36

Answer 1

Answer:

A. 34

This is the general solution. Let the numbers be n-2, n and n +2. We are given 12 x n = 152 + 8 x (n - 2). 12 n = 152 + 8 n - 8 x 2. 12n - 8n = 152 - 16 = 136 4n = 136 n = 34