The average of 20 numbers is 15 and the average of first

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The average of 20 numbers is 15 and the average of first five is 12. The average of the rest is

If the average of remaining numbers be n, then
20 × 15 = 5 × 12 + 15n
⇒ 300 = 60 + 15n
⇒ 15n = 300 – 60 = 240

⇒ n =	240	= 16
	15

Second method to find the required average ,
Here, m = 20, x = 15 n = 5, y = 12

Average of remaining Numbers =		mx - ny
		mn

Average of remaining Numbers =		20 × 15 - 5 × 12
		20 - 5

Average of remaining Numbers =		300 - 60
		15

Average of remaining Numbers =	240	= 16
	15