The ages of Anjali and Aditya are in the ratio 3: 4. Eight years later sum

of their ages will be 44 years. What are their present ages

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 (subtract 16 from both sides)

7x = 28 (divide both sides by 7)

x = 4

Anjali is 3x = 3 * 4 = 12 years old and Aditya = 4x = 4 * 4 = 16 years old