Apositive integer is 4 less than another. if the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,6), then find the two integers.

Let the smaller number is x.

So the bigger number is x+4.

Reciprocal of smaller number is and reciprocal of larger number is

SO our equation is





by cross multiplication rule





Now we can solve it by factorization.

As we can see -24*5 = -120.

So we can write -120 as 12 * (-10) = -120 because 12 - 10 = 2

SO we can write expression as



So x = 2 or x =

But we have to choose positive integer. SO we will choose x = 2.

SO the smaller number is 2 and bigger number is 6.

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6/ 11 = 0.545454 so your answer is55%