Ex 2.2, 9 - The ages of Rahul and Haroon are in ratio 5:7. Four years

Ex 2.2, 9 - Chapter 2 Class 8 Linear Equations in One Variable - Part 2

Go Ad-free

Transcript

Question 9 The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?Given that Ages of Rahul and Haroon are in the ratio 5:7 (𝐴𝑔𝑒 π‘œπ‘“ π‘…π‘Žβ„Žπ‘’π‘™)/(𝐴𝑔𝑒 π‘œπ‘“ π»π‘Žπ‘Ÿπ‘œπ‘œπ‘›)=5/7 Let age of Rahul = 5x years & age of Haroon = 7x years After 4 years, Age of Rahul = (5x + 4) Years Age of Haroon = (7x + 4) Years Given that 4 years later, Sum of Rahul’s age & Haroon’s age = 56 (5x + 4) + (7x + 4) = 56 5x + 7x + 4 + 4 = 56 12x + 8 = 56 12x = 56 βˆ’ 8 12x = 48 x = 48/12 x = 4 ∴ Present age of Rahul = 5x = 5 Γ— 4 = 20 Years & Present age of Haroon = 7x = 7 Γ— 4 = 28 Years

Davneet Singh's photo - Co-founder, Teachoo

Made by

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