SOLUTION: Some math Homework! :) I need someone to help me through it. Not give me the answer. If someone gives me the answer it won't help me if they do not walk me through it. Thanks so mu

Question 712196: Some math Homework! :) I need someone to help me through it. Not give me the answer. If someone gives me the answer it won't help me if they do not walk me through it. Thanks so much.
The sum of the reciprocals of two consecutive positive integers is seventeen/seventy-two. Write an equation that can be used to find the two integers. What are the integers?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocals of two consecutive positive integers is seventeen/seventy-two. Write an equation that can be used to find the two integers. What are the integers?
.
First from "two consecutive positive integers" we can create our variables:
Let x = smaller of two consecutive integers
then
x+1 = larger of two consecutive integers
.
Reciprocal of x is
1/x
Reciprocal of x+1 is
1/(x+1)
.
From: "The sum of the reciprocals of two consecutive positive integers is seventeen/seventy-two." we get our equation:
1/x + 1/(x+1) = 17/72
To solve, multiply both sides by 72x(x+1) to get:
72(x+1) + 72x = 17(x(x+1))
Can you finish from here?
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