Question

present ages of Anu and Raj are in the ratio 4 ratio 5 present age of Anu and Raj are in the ratio 4 ratio 5 8 years from now the ratio of their ages will be 5 ratio 6 find their present ages ​

Answer 1

Answer:

The ratio of present ages of Anu and Raj is 4:5.

Let k be the common multiple.

So the age of Anu is 4k and that of Raj is 5k.

After 8 years.

Age of Anu is 4k+8.

Age of Raj is 5k+8 .

The ratio is 5:6

i.e. 4k+8/5k+8= 5/6

24k+48 = 25k + 40.

k = 8.

The present age of Anu is 4k = 32 and present age of Raj is 5k = 40 .

So, the present ages of Anu and Raj are 32 years and 40 years respectively.

Hope this answer helps you. Have a good day!!!

Answer 2

Answer:

let the present ages of Anu and Raj be = 4 x and 5 x

after 8 years

Anu = 4 x + 8

Raj = 5 x + 8

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

by cross multiplication

(4 x + 8) x  6 = (5 x +8 )x 5

24 x + 48 = 25 x + 40

48- 40 = 25 x - 24 x

8 = x

age of Anu = 4x

                   = 4 x 8 = 32 years

age of Raj = 5 x

                  = 5 x 8 = 40 years