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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  1. Class 10
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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.