There are 20 numbers in the set.
Given,
Set of numbers is 120
one number is increased by 300
and, mean increases to 135.
To find the how many numbers are in the set?
Now, According to the question:
Let the number of numbers be 'n'
Then, (sum of numbers)/n = 120
or, old sum = 120n
if one number is increased by 300, the new sum = (old sum + 300)
Then, (new sum)/ n= 135
or new sum = 135n = old sum + 300 = 120n + 300
The equation will be:
135n = 120n + 300
15n = 300
n = 20
Hence, There are 20 numbers in the set.
In the question:
The mean of a set of numbers is 120. if one number is increased by 300, the mean increases to 135.
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