Directions(Q.6 to Q.15 ):

The ratio of ages of A and B 4 years ago was 5 : 3. The sum of present ages of A, B and C is 80 years. If present age of C is equal to sum of present ages of A and B. find the present age of A.

let present age of A & B be x & y years respectively

$frac{{x - 4}}{{y - 4}} = frac{5}{3}$

3x−12=5y−20

3x=5y−8 ……… (i)

Let present age of C be z years

X+y+z=80

X+y=z

X+y=40 …………. (ii)

On solving (i) & (ii)

x=24 ????????????????????

Present age of A = 24 ????????????????????