SOLUTION: Please help me solve this question: twice the reciprocal of the larger positive even integer exceeds half of the smaller even integer by 1. find the integers.

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Question 841217: Please help me solve this question: twice the reciprocal of the larger positive even integer exceeds half of the smaller even integer by 1. find the integers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = the larger integer
let b = the smaller
Just write an equation for what it says:
:
twice the reciprocal of the larger positive even integer exceeds half of the smaller even integer by 1.
2*1%2Fa = 1%2F2b + 1
multiply both sides by 2
4*1%2Fa = b + 2
4%2Fa = b + 2
4%2Fa - 2 = b
find the integers.
The only positive even integers that would satisfy this: a=2, b=0