Question

Present ages of Anu and Rajare in the ratio 4:5 . Eight years from now the ratio of their ages will be 5:6 . Find their present ages? ​

Answer 1

Answer:

let Anu and Rajre age be 4x and 5x

4x+8+5x+8 = 5x+6x

16 = 11x - 9x

2x = 16

x = 8

Anu = 32 years

Rajare = 40 years

Answer 2

Answer:

Let the present age Anu and Raju be 4x and 5x years respectively.

After eight years, Anu's age=(4x+8)years

After eight years, Raju's age=(6x+8)years;

Therefore, the ratio of their ages after eight years

= 4x + 8

5x + 8

This is given to be 5:6

Therefore, 4x + 8 = 5

5x + 8 = 6

cross - multiplication gives

6 (4x + 8) = 5 (5x+8)

or 24x + 48 = 25x + 40

or 24x - 25x = 40 - 48

or - x = - 8

or x = 8

Therefore, Anu's present age=4x=4×8=32

Raju's present age = 5x = 5×8 = 40years