Ratio of the age of A after 4 years and the age of B after 3 years is 8:9 and the present age of C is 25%

Ratio of the age of A after 4 years and the age of B after 3 years is 8:9 and the present age of C is 25% less than the present age of A. If A is 6 years younger than B, then find the age of C 5 years hence?

a)            36 years

b)            40 years

c)            25 years

d)            32 years

e)            None of these

Sol:

B-A=6

The present age of A=(8x-4)

The present age of B=(9x-3)

(9x-3)-(8x-4)=6

x+1=6

x=5

The present age of A=8*5-4=36 years

The present age of C=36*75/100=27 years

After 5 years, the age of C=27+5=32 years