If the average age of a class is 15 including the age of the teacher that of the boys is 10 and if t...........

Quant (SSC) Problems based on Ages

If the average age of a class is 15 (including the age of the teacher); that of the boys is 10 and if the age of the teacher is 13 more than the average age of the girls , then what is the average age of the girls, given that the number of boys and girls is the same?

can't be determined

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Explanation:

Let the number of boys = the number of girls = n
Hence, total age of boys = 10n
Let the average age of girls = x
Hence, total age of girls = nx
Total age of the class = 10n + nx + x + 13
Total number of people in the class = n + n + 1 = 2n + 1
Average age of the class = (10n + nx + x + 13) / (2n + 1) = 15
Since this is a single linear equation in two variables, a unique solution can't be found.
Therefore, the average age of the girls cannot be determined.