# How long does it take to make homework that comes out even, when there

1. Oct 18, 2013

### Tyrion101

I'm starting to get to a point where the numbers are getting sometimes well beyond 3 digits in length and, I'm constantly amazed at the fact that there are usually no decimals anyplace in the actual problem, and I was wondering how long does it take to find questions that don't have decimals in the problem?

2. Oct 18, 2013

### phinds

I don't see why it should take any time at all. How hard can it be to make up problems that have integer solutions?

3. Oct 18, 2013

### collinsmark

If the problem involves right triangles (utilizing the Pythagorean therem, c2 = a2 + b2) then it ends up pretty easy if the triangles are 3-4-5 triangles (52 = 32 + 42).

You can also scale the 3, 4 and 5 by any constant and it still works out. For example, let's multiply them all by 123.

c2 = 3692 + 4922.

Solve for c.

Last edited: Oct 18, 2013
4. Oct 18, 2013

### AlephZero

A good way is first decide what you want the answer to be, then work backwards to find the numbers in the question.

5. Oct 18, 2013

### lisab

Staff Emeritus
Not very hard for those who can easily solve them forwards and back. But for someone first learning, it's an interesting observation. I wonder how many students are shocked the first time they get an answer that has a digits after the decimal, and realize it's a correct answer!