Question

present age of Ani and Rani are in the ratio of 4:5 .8 years from now the ratio of their ages will be 5:6 .find the present age​

Answer 1

Step-by-step explanation:

let the ani 's age - 4x & Rani's age - 5x.

After 8 years Ani's age = 4x+8.

And Rani's age = 5x+8.

After 8 years, the ratio of Ani's age and Rani's age is 4x+8 :5x8 .

But according to data this ratio is equal to 5:6 .

4x+8:5x+8=5:6.

I. e .., 6(4x+8)=5(5x+8).

24x+48=25x+40.

48 - 40 = 25x-24x ( transposing 40 to LHS and 24x to RHS.

8 = 1x

1x = 8

x = 8/1 = 8

Therefore Ani's age = 4x = 4* 8 =32 years.

Rani's age = 5x = 5*8 =40 years .