The average age of Arjun, Bela and Chitra is m years. Arjun’s age is (m + 8) years. Bela’s age is 75% of Arjun’s age, and Chitra is 5 years younger than Bela. Find the value of 'm'.

ATQ, Average age of Arjun, Bela and Chitra = m years So, total age of all three = 3m Arjun’s age = m + 8 Bela’s age = 75% of Arjun’s age Bela’s age = 75 × (m + 8)/100 Bela’s age = 3(m + 8)/4 Chitra is 5 years younger than Bela. Chitra’s age = 3(m + 8)/4 − 5 Now, Arjun’s age + Bela’s age + Chitra’s age = 3m (m + 8) + 3(m + 8)/4 + 3(m + 8)/4 − 5 = 3m (m + 8) + 6(m + 8)/4 − 5 = 3m (m + 8) + 3(m + 8)/2 − 5 = 3m m + 3 + 3(m + 8)/2 = 3m Multiply both sides by 2. 2m + 6 + 3(m + 8) = 6m 2m + 6 + 3m + 24 = 6m 5m + 30 = 6m 6m − 5m = 30 m = 30