# Math

posted by .

What is 2 + 2? = 4
What is 2 * 2? = 4
So, the sum and the product of these two numbers is the same. Are there other numbers that have this same property? Yes
Determine all number pairs x and y such that the product of x and y and the sum of x and y are equal. Make sure to show your work and to explain and justify your solutions.

Thanks so much,
Kylie

• Math -

Hi Kylie,

The answer is no. Remember that multiplication is different than addition. When you add duplicates it is the sum of itself in ones. When you multiply duplicates you are adding the number by the number of times by itself.
1+1= 1+1 or 2
1x1=1

2+2=4 equals 1+1,1+1
2x2=4 equals 2+2 or 4

3+3= 6 or 1+1+1, 1+1+1, 1+1+1
3x3= 3+3+3 or nine

4+4= 8 1+1+1+1, 1+1+1+1, 1+1+1+1, 1+1+1+1
4x4= 4+4+4+4
etc. Do you see the pattern?
So each number up from one will be more when the number is multiplied by its self.
Make sense?

## Similar Questions

1. ### math-word problems with quadratics

I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is -15. Their product is -100. Find the two numbers. 3) The sum of two numbers is -8. Their product is 12. …
2. ### maths

the sum of N positive integers is 19. what is the maximum possible product of these N numbers?
3. ### Math

When factoring a trinomial that is in the format Ax^2 + Bx + C, the number that is represented by B should be viewed as the _____?

two numbers have a product of 3 1/5 and a sum of 3 3/5. One of the numbers is a whole number. find the numbers.
5. ### Algebra

Need help plz. Don't really get this "reversing the digits" What is this really called in math language?
6. ### Math

Two numbers have a product of 3 1/5 and a sum of 3 3/5. One of the numbers is a whole number. Find the numbers.
7. ### multplication

When multiplying is there a rule stating that the numbers being multiplied can't have the same two last numbers as the product or the numbers can't end with the same numbers that were multiplied?
8. ### math URGENT!!!!

i have a list of 5 different numbers. the sum of 2 of the numbers is 0. the sum of 2 of the numbers is 1. the sum of 2 of the numbers is 2. the sum of 2 of the numbers is 3. the sum of 2 of the numbers is 4.the sum of 2 of the numbers …
9. ### Math

An ordered triple of real numbers (a,b,c) is called friendly, if each number is equal to the product of the other 2. How many friendly triples are there?
10. ### Calculus

Two positive numbers have the property that their product is 2 and their sum is as small as possible. Find their sum.

More Similar Questions

Post a New Question