what are the two numbers that makes the sum of 60 and the quotient of 4
The answer is 48 / 12
a + b =60
a/b = 4 so a = 4 b
4 b + b = 60
5 b = 60
b = 12
a = 4*12 = 48
To find the two numbers that make the sum of 60 and have a quotient of 4, we can set up a system of equations.
Let's assume the two numbers are x and y.
According to the problem, the sum of the two numbers is 60, so our first equation is:
x + y = 60
The quotient of x divided by y is 4, or in other words, x divided by y equals 4. This gives us our second equation:
x / y = 4
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the substitution method:
1. Solve the first equation for x: x = 60 - y.
2. Substitute this value of x into the second equation:
(60 - y) / y = 4.
Now we can solve for y:
60 - y = 4y.
60 = 5y.
y = 12.
Now substitute the value of y back into the first equation to find x:
x + 12 = 60.
x = 60 - 12.
x = 48.
So the two numbers that make the sum of 60 and have a quotient of 4 are 48 and 12.