Out of two numbers, the first number is three-fourth of the second 7 number. If the average of the reciprocal of the two numbers is 48 , then ​ the first number is

Explanation

Given: 7 The average of the reciprocal of the two numbers is 48 The first number is three-fourth of the second number ​ Calculation: Let the 2nd number be 4x So, the 1st number be 4x × (3/4) = 3x So, their reciprocal = 1/4x and 1/3x Total = 1/4x + 1/3x = (3 + 4)/12x ⇒ 7/12x Average = [(7/12x)/2] ⇒ 7/24x Here, 7/24x = 7/48 So, x = 48/24 = 2 So, the 1st number is 2 × 3 ⇒6 ∴ The first number is 6.