The quotient of two numbers is 8. The sum of the same two numbers is 72. What is the two numbers
16/2 = 8
24/3 = 8
32/4 = 8
40/5 = 8
48/6 = 8
56/7 = 8
64/8 = 8
72/9 = 8
Which pair of divisers and dividends add up to 72?
64/8
Right!
To find the two numbers, let's set up an equation based on the information given.
Let's call the two numbers x and y.
We know that the quotient of the two numbers is 8, which means x divided by y equals 8. So, we can write the equation as:
x/y = 8
We also know that the sum of the two numbers is 72, which means x plus y equals 72. So, we can write another equation as:
x + y = 72
To solve these equations simultaneously and find the values of x and y, we can use a method called substitution.
First, let's solve the first equation for x:
x/y = 8
Multiply both sides of the equation by y:
x = 8y
Now substitute this value of x in the second equation:
8y + y = 72
Combine the like terms:
9y = 72
Divide both sides of the equation by 9:
y = 8
Now that we have the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
x/y = 8
x/8 = 8
Multiply both sides of the equation by 8:
x = 64
So, the two numbers are x = 64 and y = 8.