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Sumit stays in Noida in a joint family comprising of his parents, uncle, aunt, an elder sister and a cousin two years younger than him. Sumit completed his MBA in 2013, from a reputed B-School. That year, the average age of Sumit's family was 41. Sumit got married in 2015 and two years after he became father. If the average age of Sumit's family in 2019 remains same as in 2013, and Sumit is older than his wife by 3 years, at what age did Sumit graduate MBA?

Sumit stays in Noida in a joint family comprising of his parents, uncle, aunt, an elder sister and a cousin two years younger than him. Sumit completed his MBA in 2013, from a reputed B-School. That year, the average age of Sumit's family was 41. Sumit got married in 2015 and two years after he became father. If the average age of Sumit's family in 2019 remains same as in 2013, and Sumit is older than his wife by 3 years, at what age did Sumit graduate MBA? Correct Answer 35

Calculation:

Let the present age of Sumit be S and the ages of his father, mother, uncle, aunt, elder sister, and cousin be F, M, U, A, E, and S - 2.

The total age of the family in 2013 will be,

⇒ /7 = 41

⇒ (S + F + M + U + A + E + S - 44) = 287

⇒ 2S + F + M + U + A + E + S = 331      ------(1)

Sumit is three years older than his wife so the age of his wife will be S - 3, and the age of his child in 2019 will be 2 years. The average age of family in 2019 is 41, so the total age of the family in 2019 will be,

⇒ /9 = 41

⇒  = 369

⇒ 3S + F + M + U + A + E = 372      ------(2)

Subtract equation (1) from equation (2).

⇒ 3S + F + M + U + A + E - (2S + F + M + U + A + E + S) = 372 - 331

⇒ S = 41

The present age of Sumit is 41, and he completed MBA in 2013. So, the age of Sumit in 2013 was 41 - 6 = 35 years.

Hint

The average value of 'n' observations is calculated by dividing the sum of all the observations by the total number of observations. Use the definition to determine the total age of the family in 2019 and 2013 respectively.

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