MATHEMATICS

JAMB 2012 - Question 43

Mathematics 2012 JAMB Past Questions - Question 43: The mean of seven numbers is 96.if an eighth number is added ,the mean becomes 112.find the eighth number.

The mean of seven numbers is 96.if an eighth number is added ,the mean becomes 112.find the eighth number.
A:
B:
C:
D:
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Correct Answer

D

Explanation

x/7 = 96/1 672 + x /8 = 112 x = 224To find the eighth number, we can use the concept of the mean.Given that the mean of seven numbers is 96, we can calculate the sum of these seven numbers by multiplying the mean by the total number of values:Sum of seven numbers = 96 * 7 = 672Now, let's assume the eighth number is represented by x. If the mean of the eight numbers is 112, we can calculate the sum of all eight numbers by multiplying the mean by the total number of values:Sum of eight numbers = 112 * 8 = 896To find the eighth number, we subtract the sum of the seven numbers from the sum of all eight numbers:Eighth number = Sum of eight numbers - Sum of seven numbers              = 896 - 672              = 224Therefore, the eighth number is 224.