SOLUTION: A positive integer is one less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2, then find it to integers

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Question 1134368: A positive integer is one less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2, then find it to integers
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A positive integer is one less than another.
a = 2b
If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2,
1%2Fb + 2%2Fa = 2
replace a with 2b
1%2Fb + 2%2F%282b%29 = 2
multiply equation by 2b, cancel the denominators
2 + 2 = 4b
4 = 4b
b = 1
the
a = 2