Question

The present ages of A and B are in the ratio 9:4 , after 7 years the ratio of their ages will be 5:3 .find their Present ages

Answer 1

Answer:

Present age of A = 18 years

Present age of B = 8 years

Step-by-step explanation:

We are given that present ages of A and B are in the ratio 9 : 4.

Let Present age of A = $9x$

and Present age of B = $4x$

The condition given to us is that after 7 years the ratio of their ages will be 5:3 which means;

              $\frac{9x+7}{4x+7} = \frac{5}{3}$

            3(9*x + 7) = 5(4*x + 7)

             27*x + 21 = 20*x + 35

             27*x - 20*x = 35 - 21

                 7*x = 14

                   x = 14/7 = 2

Therefore, Present age of A = 9*x = 9*2 = 18 years

                   Present age of B = 4*x = 4*2 = 8 years