Question

the present age of A and B are 23 and 31 after how many years their ratio of their ages will be 11:13​

Answer 1

Answer:

After 21years

23+21=44

31+21=52

Lowest terms will be 11:13

Answer 2

Answer:

After 21 years the ratio of the ages of A and B will be 11:13​.

Step-by-step explanation:

We are given that the present age of A and B are 23 and 31 and we have to find that after how many years the ratio of their ages will be 11:13​.

Let after x years the ratio of the ages of A and B will be 11:13​.

which means;          $\frac{23+x}{31+x} = \frac{11}{13}$  

                          ⇒ 13(23 + x) = 11(31 + x)

                          ⇒ 299 + 13*x = 341 + 11*x

                          ⇒ 13*x - 11*x = 341 - 299

                          ⇒ 2*x = 42  ⇒ x = 21 years.

Therefore, after 21 years the ratio of the ages of A and B will be 11:13​.