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