SOLUTION: A positive integer is two less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is fraction 17/35 then find the two integers.

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Question 1075866: A positive integer is two less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is fraction 17/35 then find the two integers.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and x-2 are the integers.

1%2F%28x-2%29%2B2%2Fx=17%2F35

Simplifying goes to quadratic eqution 17x%5E2-139x%2B140=0, with discriminant 99%5E2.

The two integers are 7 and 5.