The product of two numbers is 3200 and the quotient when the larger nu...
2x/x. =2 (qutionent)
2x*x=3200
2x^2=3200
x^2=1600
x=square root of 1600
x=40
therefore x=40
2x=80
The product of two numbers is 3200 and the quotient when the larger nu...
Given:
Product of two numbers = 3200
Quotient when larger number is divided by smaller number = 2
To find:
The two numbers
Solution:
Let the two numbers be x and y.
According to the given information,
x * y = 3200 ... (1)
x / y = 2 ... (2)
Method 1:
We can use substitution method to find the two numbers.
From equation (2), we get x = 2y. Substituting this value of x in equation (1), we get:
2y * y = 3200
2y^2 = 3200
y^2 = 1600
y = ±40
If y = 40, then x = 2y = 80.
If y = -40, then x = 2y = -80.
Therefore, the two numbers are 40 and 80 or -40 and -80.
Method 2:
We can also use algebraic manipulation to find the two numbers.
From equation (2), we get x = 2y. Substituting this value of x in equation (1), we get:
2y * y = 3200
2y^2 = 3200
y^2 = 1600
y = ±40
Now, we can find x using equation (2):
If y = 40, then x = 2y = 80.
If y = -40, then x = 2y = -80.
Therefore, the two numbers are 40 and 80 or -40 and -80.
Answer:
The two numbers are 40 and 80 or -40 and -80.