The ages of Rahul and Hari are in the ratio 5:7 Four years later the sum of their ages will be 56 years . What are their present age ?

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asked Dec 10, 2017 in Olympiad by Golu (37,045 points) 19 145 415

The ages of Rahul and Hari are in the ratio 5:7 Four years later the sum of their ages will be 56 years . What are their present age ?

20,28

30,38

10,18

40,25

1 Answer

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answered Dec 10, 2017 by anukriti (13,536 points) 5 10 19
edited Dec 10, 2017 by anukriti

Let the common ratio between Rahul's age Hari's age be x

∴ Age of Rahul and Hari will be 5x years and 7x years

After 4 years the age of Rahul and Hari will be (5x+4) years and (7x+4) years

After 4 years , the sum of ages of Rahul and Hari is 56 years

∴5x+4+7x+4=56

12x+8=56

12x=56−8

12x=48

x=4

Rahul's age = 5x years

=5×4 = 20 years

Hari's age = 7x years

=7×4

=28 years

Answer : 20,28

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