Question

16. The ages of A and B are in the ratio 5 : 3. After 6 years, their ages will be in the ratio 7:5.
The present age of A is
(a) 5 years
(b) 10 years
(c) 15 years
(d) 20 years​

Answer 1

Step-by-step explanation:

the present age of A is 15 years option (c)

Answer 2

Answer:

Let their present ages be 5× & 3×

So,

After 6 yrs.

Age of A = 5× + 6

Age of B = 3× + 6

But, a/q, their ages will be in the ratio 7:5 respectively

So,

5× + 6/ 3× + 6 = 7/5

5(5× + 6) = 7(3×+6)

25× + 30 = 21× + 42

25× - 21× = 42 - 30

4× = 12

× = 12/4

× = 3

Therefore,

Age of A = 5× = 5 * 3 = 15yrs.

Age of B = 3× = 3 * 3 = 9yrs