Question

The ratio between Rohit’s and Vivek's age at present is 5:3. Vivek is 8 years younger than Rohit. The ratio of Rohit’s age to Vivek's age after 5 years will be :
A) 21:17
B) 19:12
C) 25 : 17
D) None of these

Answer 1

Answer:

Step-by-step explanation:

Let the age of rohit is R and vivek's age is V;

1. Condition R:V = 5:3 (equation 1)

3.R = 5.V (By cross multiplication) [equation 1]

2. Condition V + 8 = R;  (Putting this value in equation 1)

3. ( V+ 8 ) = 5 V;

Now solving this equation and calculating V:

3V + 24 = 5V;

24 = 2V;

V = 12 (Present age of vivek)

R = V + 8

R = 12 + 8 = 20 (Present age of rohit)

After 5 years the ratio of their age is R+5 : V + 5 = (20+5) : (12+5)

R:V = 25:17

Answer 2

Answer:

The ratio between Rohit’s and Vivek's age at present is 5:3. Vivek is 8 years younger than Rohit.

The ratio of Rohit’s age to Vivek's age after 5 years will be = 25:17

Step-by-step explanation:

Let say rohit current age = 5 X

then Vivek current age = 3X

Vivek is 8 year younger than Rohit

5X - 3X = 8

=> 2X = 4

=> X = 4

Rohit current age = 5X = 5*4 = 20

Vivek Current Age = 3X = 3*4 = 12

After 5 year Rohit Age = 20 + 5 - 25

After 5 Year Vicek Age = 12 + 5 = 17

The ratio of Rohit’s age to Vivek's age after 5 years will be = 25:17

Option C is correct