math
posted by keeauna .
find two numbers whose sum is 25 and the sum of whose reciprocals is one sixth

Solve this pair of equations:
x + y = 25
1/x + 1/y = 1/6
Rewrite as
1/x + 1/(25x) = 1/6
[(25x) + x]/[x(25x)] = 1/6
150 = x(25x)
x^2 25x + 150 = 0
(x30)(x5) = 0
One more step 
I tried to finish drwls solution and verify the answers, but they would not check out.
After my second cup of coffee, I realized that my good collegue made what we used to call "wishful thinking solutions" error.
the factors would be (x15)(x10)
and we get symmetric solutions, that is, when x=15, y=10 and when x=10 y = 15 
Correct, my mistake.

x+25x+150=0
Respond to this Question
Similar Questions

Discrete mathematics
I need help solving this problem, I have followed the sequence forward and backwards but can't seem to find the solution. I believe it's the pigeon hole theorem. Here's the problem; Let A be any set of twenty integers chosen from the … 
algebra
One number is 4 times another. If the sum of their reciprocals is 5/36 , find the two numbers. I am total lost on this problem x is a number 4x is another number these should = 5/36 so my equation would be x+4x=5/36 first x i am getting … 
Math
Minimizing Sum: Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. 
math
find two numbers whose product is N^2 and whose sum is a minimum 
arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term … 
arithmetic
1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term … 
math
Find two numbers (exactly) whose product is 10 and whose sum is 18. 
math
Find: Two numbers whose sum 10 and whose product is 5. ;;; x+y = 10 x= 10y xy=5 (10y)y=5 10yy^2 = 5 y^210y5=0 y= 9.47213595499958 and y= 0.52786404500042 Two numbers whose sum is 1 and whose product is 1. ;;; y= (1+ sqrt(3))/2 … 
math
two numbers are reciprocals of each other and whose sum is 3 
Math
Find two numbers a and b whose sum a+b is 1 and whose difference a−b is 5. I do not understand the question