Question

Sudhir's present age is 5 more than three times the age of viru. Anil's age is half the age of sudhir. If the ratio of the sum of and sudhir's and viru's age to three times Anil's age is 5:6 ,then find viru's age.​

Answer 1

Answer:

let sudhir age be x yrs

let viru age be y yrs

let anil age be z yrs

according to question

x=5+3(y)------------(1)

z=x/2---------------(2)

z=5+3(y)/2

ratio=(5+3y+y)/{3(5+3y/2)}=5/6

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Answer 2

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.