Question

the age of A and B are in the ratio 6:5 and sum of their ages​ is 44 years​. what will be the ratio of their ages after 8 year?
(a)=7:6
(b)=8:7
(c)=9:8
(d)=3:4

Answer 1

Hey.

let ages be 6x and 5x

so, 6x+5x=44
so, 11x =44
so, x=44/11=4
so, age = 24 and 20
so, ratio after 8 yr = 24+8/20+8=32/28=8/7

Thanks.

Answer 2

Answer:

8:7

Step-by-step explanation:

Given :The age of A and B are in the ratio 6:5 and sum of their ages​ is 44 years​.

To Find: what will be the ratio of their ages after 8 year?

Solution:

Since the ratio of ages of A and B is 6:5

Let ages be A= 6x and B=5x

Now we are also given that the sum of their ages is 44

So, 6x+5x=44

11x =44

x=44/11=4  

Thus age of A = 6x= 6*4 =24 years

Age of B = 5x=5*4 =20 years

Thus the age after 8 years will be :

Age of A = 24+8 =32

Age of B= 20+8 =28

Thus the ratio of their ages after 8 years = $\frac{32}{28}$ =  $\frac{8}{7}$

Hence the ratio of their ages after 8 year is 8:7