Question

"Present ages of Anu and Raj are in the ratio 4:5. Eight years from now, the ratio of their ages will be 5:6. Find their present ages.

A) 16, 20
B) 12, 15
C) 8, 10
D) 10, 12"

Answer 1

The present ages of Anu and Raj are 32 and 40, respectively.

Step-by-step explanation:

Let the present ages of Anu and Raj be 4x and 5x respectively, where x is a constant.

After 8 years, Anu's age will be 4x+8 and Raj's age will be 5x+8.

According to the given information, the ratio of their ages after 8 years will be 5:6. So we can write the equation:

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

Cross multiplying, we get:

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

Simplifying, we get:

24x + 48 = 25x + 40

Subtracting 24x and 40 from both sides, we get:

8 = x

Therefore, Anu's present age is 4(8) = 32 and Raj's present age is 5(8) = 40.