Question

SudhirтАЩs present age is 5 more than three times the age of Viru. AnilтАЩs age is half the age of Sudhir. If the ratio of the sum of SudhirтАЩs and ViruтАЩs age to three times AnilтАЩs age is 5:6 , then find ViruтАЩs age.

Answer 1

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.