SOLUTION: 2. One number exceeds another by 5. The sum of their reciprocals equal to 19
divided by the product of the two numbers. Find the two numbers.
(a) How will you set up t
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Question 140018: 2. One number exceeds another by 5. The sum of their reciprocals equal to 19
divided by the product of the two numbers. Find the two numbers.
(a) How will you set up the problem?
(b) What is the equation that the one number exceeds another by 5?
(c) What is the product of two numbers, in terms of x?
(d) What is x? Also check your answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
Let x=first number and y=second number
b)
Since "One number exceeds another by 5", this means that the first equation is
c)
The product of the two numbers in terms of x is
d)
The value of x is 7
----------------------------
So let's solve the problem
Let x=first number and y=second number
Since "One number exceeds another by 5", this means that the first equation is
Also, because "The sum of their reciprocals equal to 19 divided by the product of the two numbers" we have the second equation
Plug in
Multiply both sides by the LCD to clear out the fractions
Distribute and multiply
Combine like terms on the left side
Subtract 5 from both sides
Combine like terms on the right side
Divide both sides by 2 to isolate x
Divide
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Answer:
So our answer is
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