find two consecutive natural number the sum of whose reciprocal is 11/30

Answer 1

n = ist number
n+1 = second number

the sum: n + n + 1 or 2n + 1

reciprocal we would want 1/(2n+1)

and that should equal 11/30

Set the two fractions equal to each other

Cross multiply and then solve for n.
then find n+1

Answer 2

want the answer of Quadratic Eqution- Divide 20 into two parts so that their sum of their reciprocals is4/15