# The ratio of age of A and B is 6:5 and sum of their ages is 44 years :

The ratio of age of A and B is 6:5 and sum of their ages is 44 years. Agter 8 years the ratio of theri age will be

(a) 7:6

(b) 6:5

(c) 4:3

(d) 8:7

**Answer: (d) 8: 7 **

**Solution:-**

The ratio of age of A and B = 6: 5

Then, Let the age of A and B be 6 X and 5 X

Sum of their ages = 44 years

Then, 6 X + 5 X = 44

11 X = 44

X = 44/11

X = 4

So, the age of A = 6 X = 6 x 4 = 24 years and the age of B = 5 X = 4 x 5 = 20 years

After 8 years their ages = 24 + 8 = 32 years & 20 + 8 = 28 years

Then, the ratio of their ages = 32/28

8: 7

Hence, the correct answer is option (d) 8: 7.