Question

Example 5. The difference of two natural numbers is 4 and the difference of their reciprocals is 1/8
Find the numbers​

Answer 1

Answer:

The difference of two natural numbers is 4

let say numbers are A and A+4

Difference of their reciprocals is 1/8

=1/A -1/(A+4) = 1/8

= A+4 - A = A (A+4) 18

= 4 = A (A+4)18

= 32 = A2 + 4A

= A2 + 4A - 32 = 0

=A2 + 8A - 4A - 32 =0

= A(A+8) - 4 (A +8) =0

= (A -4) (A +8 = 0

= A= 4 or A = -8

-8 not possible as only natural number

Number are 4 . 8