the product of 2 numbers is 9. The quotient of the numbers is 1. What are the numbers.
If the quotient of the numbers is 1, they must be the same number.
What two numbers multiplied together gives 9 as a product?
the answer is 1 and 9.
To find the two numbers based on the given conditions, we can set up a system of equations.
Let's say the two numbers are x and y.
Statement 1: "The product of 2 numbers is 9."
This can be written as x * y = 9.
Statement 2: "The quotient of the numbers is 1."
This can be written as x / y = 1.
Now we have two equations:
1) x * y = 9
2) x / y = 1
To find the values of x and y, we can solve this system of equations by substitution or elimination method.
Using substitution:
From equation 2, we can say x = y.
Substituting this value in equation 1: y * y = 9, we get y^2 = 9.
Taking the square root of both sides, we have y = √9 = ±3.
So, the possible values for y are 3 and -3.
Substituting y = 3 into equation 2, we get x = 3.
Substituting y = -3 into equation 2, we get x = -3.
Therefore, the two numbers can be either (3, 3) or (-3, -3).