Question

The sum of the reciprocals of two numbers is 13/150. If the smaller number is 15 then find the larger number.  
1. 45
2. 35
3. 50
4. 52
5.

Answer 1

Correct Answer - Option 3 : 50

Given:

Sum of reciprocals of two numbers = 13/150

Smaller number = 15

Calculation:

Let the larger number be x. 

According to the question,

(1/15) + (1/x) = 13/150

⇒ (x + 15)/15x = 13/150 

⇒ x + 15 = (13/150) × 15x

⇒ x + 15 = (13/10) × x

⇒ 10x + 150 = 13x

⇒ 13x - 10x = 150

⇒ 3x = 150

⇒ x = 150/3

⇒ x = 50

∴ The larger number is 50.