Question

Present ages of Anu and Madhu are in the ratio 3 : 4. Ten years from now the ratio of their ages will be 4:5. Find their present ages.​

Answer 1

Present ages of Anu and Madhu are in the ratio 3 : 4. Ten years from now the ratio of their ages will be 4:5. Find their present ages.

= Let their present age be 4a and 5a.

After 8 years, their ages will be (4a+8) and (5a+8)

Ratio would be (4a+8) : (5a+8)

But this ratio is given to be 5:6. Therefore

(4a+8) : (5a+8) = 5:6

solve this (4a+8) / (5a+8) = 5/6

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

=> 24a + 48 = 25a + 40

=> a = 8

So their present age would be

4a = 4x8 = 32

5a = 5x8 = 40