Question 62
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?
Solution
The average of 8 numbers is 12.
Sum of 8 numbers initially = $$12\times8$$ = 96
If a number Y is added to each of these 8 numbers, then the average becomes 16.
$$\frac{96+8\times\ Y}{8}\ =\ 16$$
$$12+Y\ =\ 16$$
$$Y\ =16-12$$Y = 4
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