The average age of eight girls is y years. 5 new girls having ages (in years) given by y + 3, y - 6, y + 15, y + 8, and y + 6, join the
class. What is the new average age of the class?
This questions was previously asked in
SSC MTS 11th July 2022 Shift-1
(y + 1) years
Incorrect Answer(y + 3) years
Incorrect Answer(y + 6) years
Incorrect Answer(y + 2) years
Correct AnswerExplanation:
- Initially, there are eight girls with an average age of \( y \) years.
- The total age of these eight girls is \( 8y \).
- Five new girls join, with ages: \( y+3 \), \( y-6 \), \( y+15 \), \( y+8 \), and \( y+6 \).
- The total age of the new girls is: \((y + 3) + (y - 6) + (y + 15) + (y + 8) + (y + 6) = 5y + 26\).
- The new total age for the 13 girls is: \( 8y + 5y + 26 = 13y + 26 \).
- The new average age is: \(\frac{13y + 26}{13} = y + 2\).
- Correct option: 4, (y + 2) years
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