Question 75
The mean of five numbers is 45. If a sixth number is also included, the mean becomes 48. Find the sixth number.
Solution
The mean of five numbers is 45.
Sum of five numbers = $$45\times5$$
= 225
If a sixth number is also included, the mean becomes 48.
Let's assume the sixth number is 'y'.
$$\frac{225+y}{6}\ =\ 48$$
225+y = 288
y = 288-225
= 63
So the sixth number = y = 63
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