Question

The ages of nishi and vinee are in the ratio of 8:15 years respectively. After 9 year the ratio of their ages will be 11:18. The difference in their in their ages will be

Answer 1

Answer:

the difference between their ages is obviously 9 years

Answer 2

Answer:

Step-by-step explanation: The given ratio of the ages of Nishi and Vinee =8:15

Let N denotes Nishi and V denotes Vinee

So we can write N/P=8/15

After 9 years the ratio of their ages = 11:18

So we can write it as N+9/P+9=11/18

We have now twi equations

N/P=8/15....(1)

N+9/P+9=11/18.....(2)

From equation (1)

N=8V/15.......(3)

From equation (2)

(N+9)18=(V+9)11

18N+162=11V+99

18N+162-99=11V

18N+63=11V

By putting the value of N from equation (3)

18(8V/15)+63=11V

144V/15+63=11V

144V/15-11V= -63

144V-165V/15= -63

-21V/15= -63

-21V= -63×15

-21V= -945

V= -945/-21

V=45

From equation (1)

N=8×45/15

N=24

So we have V=45 and N=21

The difference between V and N = 45-24=21

Hence the difference between the age of Nishi and Vinee is 21 years