Question

sudhirś present age is 5 more than three times the age of viru.
anilś age is half the age of sudhir.
if the ratio of the sum of sudhirś and viruś age to three times anilś age is 5:6,then find the viruś age

Answer 1

Let sudhirs age be x yrs
virus age be 3x+5 yrs.
anils age be x÷2 yrs.

3x+5+x÷3(x÷2)=5:6
4x+5÷3x÷6=5:6
6(4x+5)=5(3x÷6)
24x+30=15x÷30

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.