Question

For two consecutive even integers, the result of sub-

tracting the larger integer from 3 times the smaller
integer is 14. Which of the following is the larger
integer?

Answer 1

Explanation:

By writing it as 3(n-2) - n = 14 you can solve this to get n=10

You essentially let the bigger even consecutive number equal n, and therefore the smaller even number equals n-2. Three times the smaller even equals 3(n-2) and minus the bigger even number gives 3(n-2) - n which we know equals 14.

So 3(n-2) - n = 14

3n - 6 - n = 14

2n - 6 = 14

2n = 20

n = 10