Question 31 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

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

Transcript

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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