What is the sum of 9 and the difference is 3

Answer 1

I believe the question you're asking is "what two numbers sum to nine while their difference is three" and I will answer that question. I'm not sure exactly what your question means as written.

Say we have two numbers, call them A and B. We know that A+B = 9 and A-B = 3.

Now, imagine those numbers represent two sticks. Placing the two sticks end to end makes them 9 feet long. Placing them side by side, one will be 3 feet longer than the other.

Let's call A the "long stick" and B the "short stick"

We're going to break the long stick into two parts. A 3 foot section, and a section that's exactly the same length as the short stick.

Now we have 3 sticks, one 3 ft, and two are "B" feet long. But we didn't destroy or add any sticks. So, the total length of all the sticks added end to end is still 9 feet.

Hopefully it is clear that then all 3 sticks left must be 3 feet long.

So, one stick was initially 3 feet and the other was 6 feet long.

Back in numeric terms, the two numbers whose sum is 9 and whose difference is 3 are the numbers:

6 and 3.