What is the age of father, if the sum of the ages of a father and his son in years is 65 & twice the difference of their ages in years is 50?

(a) 40 years   (b) 45 years   (c) 55 years   (d) 65 years

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Question 31 What is the age of father, if the sum of the ages of a father and his son in years is 65 & twice the difference of their ages in years is 50? (a) 40 years (b) 45 years (c) 55 years (d) 65 years Let Age of father = x years Age of son = y years Given that sum of the ages of a father and his son in years is 65 x + y = 65 Also, twice the difference of their ages in years is 50 2(x − y) = 50 x − y = 25 Adding (1) and (2) (x + y) + (x − y) = 65 + 25 2x = 90 x = 90/2 x = 45 Thus, Age of father = x = 45 years So, the correct answer is (b)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo