The average of 8 numbers is 12 If a number Y is added to each of these 8 numbers then the average be...........

Quantitative Aptitude (MTS) Average

The average of 8 numbers is 12. If a number Y is added to each of these 8 numbers, then the average becomes 16. What is the

value of Y?

This questions was previously asked in

SSC MTS 19th July 2022 Shift-3

- The average of 8 numbers is 12.

- This means the sum of the 8 numbers is \(12 \times 8 = 96\).

- When adding Y to each number, the average becomes 16.

- New sum with Y added to each: \(96 + 8Y\).

- The new average is \( \frac{96 + 8Y}{8} = 16\).

- Solving for Y:

- Multiply both sides: \(96 + 8Y = 128\).

- Subtract 96: \(8Y = 32\).

- Divide by 8: \(Y = 4\).

- Option:1, 5 - Does not match calculated Y.

- Option:2, 4 - Correct! This is the calculated Y.

- Option:3, 8 - Higher than calculated Y.

- Option:4, 6 - Higher than calculated Y.

Submit Error