Read the following information carefully to answer the questions that follow.
The average age of 6 persons living in a house is 23.5 years. Three of them are majors and their average age is 42 years. The difference in ages of the three minor children is same
What is the mean of the ages of minor children?
[ A ] 3 years
[ B ] 4 years
[ C ] 5 years
[ D ] 6 years
Answer : Option C
Explanation :
Total age of six persons = 23.5 × 6 = 141 years Total age of three major persons = 42 × 3 = 126 years
∴ Total age of three minor children = 141 – 126 = 15 years The difference in ages of the three minor children is same. Therefore, we take ages may be: 5, 5, 5; 3, 5, 7; 2, 5, 8 and 1, 5, 9 In all the cases, median will be 5 years
Mean age of minor children = $15\over3$ = 5 years
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