Question
In a group of 40 persons, the oldest and the youngest
persons have an age difference of 94 years. When these two persons are excluded from the group, the average age of remaining persons is 26 years. If the average age of the entire group is 27.5 years, then find the age of youngest person (in years)?Solution
Let the oldest and yongest age be x and y respectively. Now, x - y = 94 Therefore, x + y + (26 × 38) = 27.5 × 40 94 + y + y = 1100 - 988 94 + 2y = 112 2y = 18 y = 9
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