Question

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 age

Answer 1

ages of a and b are 48 and 18 respectively

Answer 2

Answer:

Present age of a is 48 years and present age of b is 18 years.

Step-by-step explanation:

The ages of a and b are in the ratio 8:3

Let the ratio be x

So, present age of a = 8x

Present age of b = 3x

After 6 years , a's age = 8x+6

After 6 years , b's age = 3x+6

We are also given that After six years their ages will be in the ratio 9:4.

So, After 6 years , a's age = 9x

After 6 years , b's age = 4x

So, 8x+6=9x

6=9x-8x

6=x

So, present age of a = 8x = 8 * 6 =48

Present age of b = 3x =  3 * 6 =18

Hence present age of a is 48 years and present age of b is 18 years.