Question

The difference between the reciprocals of two
consecutive positive integers is 1/12.Find the two
numbers.​

Answer 1

let one number=X

another number=X+1

1/X+1 -1/X =1/12

X-X+1/(X+1)(X)=1/12

12=x^2+X

x^2+x-12=0

x^2+4x-3x-12=0

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

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

x-3=0. X+4=0

X=3. X= -4

here X is positive integer

so we take X=3

one number=X=3

another number=X+1

=3+1=4

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Answer 2

Step-by-step explanation:

let one number=× another number= ×+1

here× is possitive integer so We take× = 3

one number= × = 3

another number= ×+1

= 3+1=4