The average age of a 10 person committee increases by 3 when three men aged 35 years 48 years and 49...........

Quantitative Aptitude (MTS) Average

The average age of a 10-person committee increases by 3 when three men aged 35 years, 48 years and 49 years are

substimted by three women. The average age (in years) of the three women is:

This questions was previously asked in

SSC MTS 18th October 2021 Shift-2

- The initial average age of the committee increases by 3 years after the change, making the total increase: \(3 \times 10 = 30\) years.

- The total age of the three men is \(35 + 48 + 49 = 132\) years.

- Let the average age of the three women be \(x\). Therefore, their total age is \(3x\).

- The equation for the increase is: \(3x - 132 = 30\).

- Solving for \(x\), we get:

\(3x = 162 \rightarrow x = 54\).

- Option 1 (54) is the correct answer.

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