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 sudhir's and viru's age to three times Anil's age is 5:6 , then find viru's age​

Answer 1

Answer:

5 years

Step-by-step explanation:

Let Viru's present age be x.

Sudhir age= 3x+5

Anil age= (3x+5)/2

Ratio of sum of Sudhir age and viru age to three times anil age= 5:6

3x+5+x : 3(3x+5)/2 = 5:6

4x+5 : (9x+15)/2 = 5:6

Product of means= product of extremes

5(9x+15)/2 = 6(4x+5)

(45x+75)/2 = 24x + 30

45x+75 = 2(24x+30)

45x+75 = 48x+60

75-60 = 48x-45x

15 = 3x

x= 15/3 = 5 years

Answer 2

Answer:

Let viru's present age be x years.

Sudhir's present age is (5+3x/2) years

From the given information,

(5+3x) + (x) : 3 5+3x/2=5 :6

5+4x/3(5+3x)/2 = 5/6

2(5+4x)/15+9x = 5/6

10+8x/15+9x = 5/6

6 (10+8x) = 5(15+9x)

60+48x= 75+45x

48x- 45x = 75-60

3x= 15

x= 15/3

x= 5

Viru's age is 5 years old.