Sudhir present age is 5 more than 3 times the age of Viru . Anil's age is half the age of Sudhir if the ratio of the sum of Sudhir's and Viru's age is 3 times Anil age is 5 : 6 then find the Viru's age
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Answer: Viru present age = 10 year's
Step by step explanation:
Let Viru 's present age = x years
Sudhir's present age = (5 + 3x) years
Anil's present age = (5 + 3x)/2 years
Given that, Ratio of the sum of Sudhir's and Viru's age to three times Anil's age is 5 : 6
=> (5 + 3x + x)/3(5 + 3x)/2 = 5/6
=> 2(5 + 4x)/3(5 + 3x) = 5/6
=> 12(5 + 4x) = 15(5 + 3x)
=> 4(5 + 4x) = 5(5 + 3x)
=> 20 + 16x = 25 + 15x
=> x = 5
Age of sudhir = 3x+5
=> 3 × 5 + 5
=> 20 year's
Age of Viru:
= 3x+2/2
= 3 × 5 + 5
=> 20/2
=> 10 year's
Hence, Viru present age is 10 year's.
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