# N is a two-digit positive even integer where the sum of the digits is 3. If none of the digits are 0, what is N?

##### 2 Answers

#### Answer:

#### Explanation:

If

But since none of the digits are

#### Answer:

12

You can get this quite easily through just thinking about it, but I'll demonstrate an algebraic approach.

#### Explanation:

If

Think about it - every 2 digit number is 10 times something (your 10s digit) plus another number.

We also know that

where

We know that we are looking for

We can use a graph to find all the solutions that satisfy our previous limits on x and u.

graph{x+2y=3 [-0.526, 3.319, -0.099, 1.824]}

The only integer solutions in this range are