the quotient of two numbers is 8.
the sum of the same numbers is 72.
what are thr two numbers?
x/(72-x) = 8
9 x = 72 * 8
x = 64
72-x = 8
To find the two numbers, let's represent them as variables. Let's call the first number "x" and the second number "y".
From the given information, we can form two equations:
1) The quotient of the two numbers is 8:
x / y = 8
2) The sum of the same numbers is 72:
x + y = 72
To solve this system of equations, we can use a method called substitution.
From equation 1, we can isolate x by multiplying both sides by y:
x = 8y
Now, substitute this value of x into equation 2:
8y + y = 72
Combining like terms, we get:
9y = 72
To solve for y, divide both sides by 9:
y = 72 / 9
y = 8
Now, substitute the value of y back into equation 1 to find x:
x = 8 * 8
x = 64
So, the two numbers are 64 and 8.