Question

The average of 10 numbers is 60.If more number is included,the average becomes 58.Find the new number

Answer 1

the first average is 60
Formula for average is = sum of all numbers /total numbers
So by using formula we get sum of all 10 numbers as 600(60×10) so now if a number is added to it then the new average is 58

again by using formula we get sum of 11 numbers (10+ the new one) = 638(58×11)

now we know that sum of 10 numbers is 600 and sum of 11 numbers is 638 we can subtract these both values

so the new number is 38

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Answer 2

average of 10 no. is 60
therefore total is 10×60=600
if the new number is added then average becomes 58
now 58×11=638
now new number is average of 11 number-average of 10 number
new number =638-600=38
therefore new number is 38