Question

what multiplys to 225 but adds to 30

Answer 1

\(\Huge\color{blue}{ \sf 15\times 15 }\)

\(\Huge\color{blue}{ \sf 15 + 15 }\)

Answer 2

I think you mean: "Which two numbers have a product of 225 and a sum of 30?"
This is definitely an algebra problem. Please choose a literal (a letter, such as x or y) to represent each of the two unknown numbers.

Then write equations in terms of those literals for the product and sum.

Solve the 2 equations simultaneously.

Answer 3

\(\Huge\color{blue}{ \sf | 15 |\times| 15 | }\)
\(\Huge\color{blue}{ \sf | 15 |+ | 15 | }\)

I factored out 225

\(\Huge\color{blue}{ \sf 225=45\times 5=25\times 9== 15\times 15 }\)

Answer 4

I am joking about the absolute value it's the same thing :)

Answer 5

so choosing out of those 3 wouldn't be hard

Answer 6

@mathmale
I never heard the term "literal."
Is that the same as a variable?

Answer 7

After double-checking on the meaning of the word "literal," I've decided to "recall" that word and substitute "letter" or "letter of the alphabet." :) In either case, the idea is that we pick a symbol, almost always a letter of the alphabet, to represent each of the unknowns in an algebra problem. Appreciate your asking for clarification!

Answer 8

I think you mean: "Which two numbers have a product of 225 and a sum of 30?"
This is definitely an algebra problem. Please choose a literal (a letter, such as x or y) to represent each of the two unknown numbers.

Then write equations in terms of those literals for the product and sum.

Solve the 2 equations simultaneously.

Let the first number be x and the second number be y.
The product of the numbers is 225, so we'd write x*y=225.
The sum of the numbers is 30, so we'd write ... what?

Then we'd solve these two equations simultaneously to find the values of x and y, which would be the same thing as solving for the "two numbers." Good luck!