If the difference and the product of two numbers are 5 and 36 respectively,…
2017
If the difference and the product of two numbers are 5 and 36 respectively, then their reciprocals differ by
- A.
5/36
- B.
31/36
- C.
5/9
- D.
9/5
Attempted by 26 students.
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Correct answer: A
Let the two numbers be x and y.
We are given that their difference is 5, so |x - y| = 5, and their product is 36, so xy = 36.
We need to find the difference of their reciprocals: |1/x - 1/y|.
Simplifying this expression, we get |(y - x)/xy| = |x - y|/xy.
Substituting the given values, we have 5/36.
Thus, the reciprocals differ by 5/36.