Ex 2.6, 6 - The ages of Hari and Harry are in ratio 5:7. Four years

Ex 2.6, 6 - Chapter 2 Class 8 Linear Equations in One Variable - Part 2


Transcript

Question 6 The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.Given that Ages of Hari & Harry are in the ratio 5 :7 ( )/( )=5/7 Let Hari s age = 5x years & Harry s age = 7x years After four years, Hari s age = (5x + 4) years & Harry s age = (7x + 4) years Given that The ratio of Hari s age and Harry age after 4 years from now = 3 : 4 ( ^ 4 )/( ^ 4 )=3/4 (5 + 4)/(7 + 4)=3/4 4 (5x + 4) = 3 (7x + 4) 20x + 16 = 21x + 12 16 12 = 21x 20x 4 = x x = 4 Therefore, Present age of Hari = 5x = 5 4 = 20 years and Present age of Harry = 7x = 7 4 = 28 years

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.