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## Answers

Reciprocal of x is 1/x

The reciprocal of x+1 is 1/(x+1)

So, 1/x + 1/(x+1) = 1/12

Lets get a common denominator on the left side of x(x+1) [(x+1) - x] / [x(X+1)] = 1/12

1/(x^2+x) = 1/12

Lets cross multiply

x^2+x = 12

x^2+x-12 = 0

So, lets factorize the expression

(x+4)(x-3)= 0

**Therefore, x=-4 or 3**

**So x+1 = -3 or 4**

Therefore, the two consecutive numbers are

**-4,-3 OR 3,4**