Question

The sum of two natural number is 8. Determine the numbers ,If the sum of this reciprocal
is 8/15​

Answer 1

Answer:

The required number is 3 & 5

Answer 2

Answer:

3 and 5

Step-by-step explanation:

Let the two natural numbers be x, y

Given, x+y = 8

1/x + 1/y = 8/15

x+y/xy = 8/15

From this xy = 15

y = 15/x

substitution of Y value in X + Y = 8

x + 15/x = 8

x^2 + 15= 8x

x^2 - 8x + 15 = 0

x^2 - 3x - 5x + 15 = 0

(x-5)(x-3) = 0

x = 5 or 3

then x = 5 and y = 3