Question

The sum and product of two numbers are 12 and 35 respectively. What will be the sum of their reciprocals?
1. \(\frac{12}{35}\)
2. \(\frac{35}{12}\)
3. \(\frac{1}{5}\)
4. \(\frac{1}{3}\)

Answer 1

Correct Answer - Option 1 : \(\frac{12}{35}\)

Given:

Sum of numbers = 12

Product of numbers = 35

Calculation:

Let the numbers be x and y

x + y = 12 

xy = 35

According to question we have to find 1/x + 1/y

⇒ 1/x + 1/y = (y + x)/xy 

⇒ 1/x + 1/y = 12/35

∴ Sum of their reciprocal is 12/35