A teacher found the average of 83 numbers to be m. Then, by accident, she included the value m with the original numbers, and found the average of the resulting 84 numbers to be n. Hind the ration of n to m.
Answers
Given: A teacher found the average of 83 numbers to be m. Then, by accident, she included the value m with the original numbers, and found the average of the resulting 84 numbers to be n
To find : the ration of n to m.
Solution:
average of 83 numbers to be m
Sum of 83 numbers = Average * numbers
= m * 83
= 83m
by accident, she included the value m with the original numbers,
=> Total Become = 83m + m = 84m
Numbers becomes = 83 + 1 = 84
new Average = New Total / 84
= 84m/84
= m
new average = n
=> n = m
=> n/m = 1
=> n : m = 1 : 1
Ratio of n to m. = 1
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