Question

sudhi present age is 5 more than 3 times the age of viru anil age is half the age of sudhir if the ratio of thesum of sudhir's and viru's age to 3 times anil's age is 5:6 , then find viru's age

Answer 1

Answer:

Viru's age present age is 5 Year  

Step-by-step explanation:

Let Viru 's present age = x Year

Sudhir's present age = (5 + 3x) Year

Anil's present age = (5 + 3x)/2  Year

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  

Answer 2

Answer:

So, Viru's age is 5 years

Step by Step Explanation:

Suppose that

Present age of  Viru in years = t

Present age of  Sudhi in years = 3 x Present age of  Viru in years + 5

Present age of  Sudhi in years = 3t + 5

Present age of Anil = Present age of  Sudhi in years/2

Present age of Anil = $\frac{3t +5}{2}$

Now It is given that

Sum of Sudhir's and Viru's age: Three times Anil's age =  5 : 6  

$t + (3t + 5) : 3(\frac{3t +5}{2}) = 5 : 6$

$\frac{4t + 5}{\frac{9t+15}{2}}$ = $\frac{5}{6}$

$\frac{4t + 5}{\frac{9t+15}{2}}$ = $\frac{5}{6}$

$2\frac{4t + 5}{9t+15}$ = $\frac{5}{6}$

cross multiplying

12(4t + 5) = 5(9t + 15)

48t + 60 = 45t + 75

48t -45t = 75 - 60

3t = 15

t = $\frac{15}{3}$

t = 5 years

So, Viru's age is 5 years