Question

If m and n are positive integers where m > n and 6m+2n=22, the value of n is __________.

Option 1: 2
Option 2: 4
Option 3: 5
Option 4: 6

Answer 1

To solve the equation 6m+2n=22, where m > n, we can rearrange it to solve for m and plug in the given answer choices to find the correct value of n. The value of n is 6, Option 4.

Step-by-step explanation:

To solve this problem, we need to find the value of n in the equation 6m+2n=22, where m > n. First, let's rearrange the equation to solve for m:

6m = 22 - 2n

m = (22 - 2n) / 6

Since m and n are positive integers and m > n, we can plug in the given answer choices to see which one satisfies the inequality. From the options provided, if n is 2, then m would be 32/6, which is not an integer. If n is 4, then m would be 28/6, which is also not an integer. If n is 5, then m would be 26/6, which is not an integer. However, if n is 6, then m would be 24/6, which equals 4. Therefore, the value of n is 6, which is Option 4.