Question

15.The ages of A and B are in the ratio 8 : 3. Six years hence, their ages
will be in the ratio 9 : 4. Find their present ages.

Answer 1

Answer:

Let A's age be 8x and B's age be 3x

According to question, we have,

8x +6/3x +6 = 9/4

32x + 24 = 27x + 54

5x = 30

x = 6

A's age =8×6=48

B's age =3×6=18

According to question, we have,

3x+68x+6=49

=>32x+24=27x+54=>5x=30=>x=6

A's age =8×6=48

B's age =3×6=18

A+B =48+18=66 years

Answer 2

The ages of A= 8:3

The ages of B= 8:3

Six years hence their = 8:3+6:0=14:3

Their present ages =14:3