If the difference and the product of two numbers are 5 and 36 respectively, then their reciprocals differ by

Options

A. `5/9`
B. `31/36`
C. `5/36`
D. `9/5`

Answer

C

Explanation

Let the larger number = a
and smaller number = b According to the question,
`a-b=5`…………….(i)
And, `a xx b = 36`……..(ii)
`therefore` Required difference `=1/b -1/a`
`(therefore a gt b rArr 1/b gt 1/a)`
`=(a-b)/(ab) = 5/36`