Present ages of Anu and Madhu are in the ratio 3 : 4. Ten years from n

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.
Answer» 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

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»

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