Question
The present ages of Pankaj and Deepak are in the ratio
11 : 7, respectively. If 9 years ago from now, the sum of ages of Pankaj and Deepak was 54 years, then find the age of Pankaj 5 years hence from now.Solution
Let the present ages of Pankaj and Deepak be β11xβ years and β7xβ years, respectively. ATQ: (11x - 9) + (7x - 9) = 54
18x - 18 = 54 18x = 72
x = 4 So, present age of Pankaj = (11 x 4 = 44) years So, required age of Pankaj = (44 + 5 = 49) years
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