The difference of two natural numbers is 4 and the difference of their reciprocals is 1/8 . Find the numbers.
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Answered by
1
Answer:
Numbers are 4 , 8
Step-by-step explanation:
Given : The difference of two natural numbers is 4 and the difference of their reciprocals is 1/8
To Find : Numbers
Solution:
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)/8
=> 4 = A(A + 4)/8
=> 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 numbers
Numbers are 4 , 8
Answered by
0
Answer:
the answer is 4 and 8
Step-by-step explanation:
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