Two numbers have a sum of fourteen. The larger number? is twice the smaller number plus two. What is the value of the greater number?

Answer 1

Let the smaller number be represented by "x" and let the larger number be represented by "y".

Then x + y = 14

Twice the smaller number is "2x" and that value "plus two" is "2x + 2". So:

y = 2x + 2

Since "y" is the same as "2x + 2", we can plug in "2x + 2" into the first equation in place of "y":

x + (2x + 2) = 14

3x + 2 = 14

3x = 12

x = 4

Plugging x = 4 into the first equation gives us:

4 + y = 14

y = 10

So the smaller number is 4 and the larger number is 10.