if sum of two numbers is c and their quotient is p/q then find number.
234
To find the two numbers, let's assume their sum is represented by 'c' and their quotient is represented by 'p/q'.
Let the two numbers be x and y.
According to the given information, we can create two equations:
Equation 1: x + y = c
Equation 2: x / y = p/q
We can solve these two equations simultaneously to find the values of x and y.
Step 1: Simplify Equation 2
Multiply both sides of Equation 2 by 'y' to eliminate the denominator:
x = (p/q) * y
Step 2: Substitute Equation 1 into Equation 2
Replace 'x' in Equation 2 with its equivalent value from Equation 1:
(p/q) * y + y = c
Step 3: Combine like terms
To simplify further, we can add the terms involving 'y':
((p/q) + 1) * y = c
Step 4: Solve for y
Divide both sides of the equation by ((p/q) + 1):
y = (c / ((p/q) + 1))
Step 5: Substitute the value of y back into Equation 1
Use the value of 'y' we found in Step 4 and substitute it in Equation 1:
x + (c / ((p/q) + 1)) = c
Step 6: Solve for x
To isolate 'x', subtract (c / ((p/q) + 1)) from both sides:
x = c - (c / ((p/q) + 1))
Now, we have found the values of x and y, and they can be represented as:
x = c - (c / ((p/q) + 1))
y = c / ((p/q) + 1)
Plug in the given values of 'c', 'p', and 'q' into these equations, and you will find the respective values of x and y.
you start out talking about two numbers, toss in some unknown quotient (maybe not even in lowest terms) then ask for "number"?
The question is mighty unclear to me.