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.

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) (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* = b + 1
multiply both sides by 2
4* = b + 2
= b + 2
- 2 = b
find the integers.
The only positive even integers that would satisfy this: a=2, b=0
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