Question

Sudesh present age is 5 more than three times the age of Viru Anil sages half the age of Sudhir if the ratio of the sum of Sudhir and veeru's age to three times Anil's age is 5:6, then find the veeru's age

Answer 1

Let viru age be x then the age of sudesh will be 3x+5 and of anil will be 3x+5/2

Now acc to question

Sum of age of sudhir and viru = 4x+5

3 times age of anil=9x+15/2

$\frac{8x + 10}{9x + 15} = \frac{5}{6} \\ \\ \\ \\ 6(8x + 10) = 5(9x + 15) \\ \\ 48x + 60 = 45x + 75$

X=5

So age of viru = 5.

Of anil=10

Of sudhir=20

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.