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)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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