What will be The Sum Their Reciprocals?

The sum and product of two numbers and 12 and 35 respectively. What will be the sum their reciprocals?

  1. 1/3
  2. 1/5
  3. 12/35
  4. 35/12
Anurag Mishra Professor Asked on 12th October 2015 in Maths.
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1 Answer(s)

Answer: (3) 12/35

Explanation:-
Let the two numbers be X and Y
The sum of two numbers = 12
Then, X + Y = 12

The product of two numbers = 35
Then, X Y = 35

The sum of their reciprocals = 1/X + 1/Y
= (X + Y)/X Y
Put the value of X + Y = 12 & X Y = 35
Then, 1/X + 1/Y = 12/35

Hence, the answer is (3) 12/35.

Anurag Mishra Professor Answered on 14th October 2015.
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