Question
There are 15 numbers such that average of first 12
numbers is 25 while the average of last five numbers is 44. Find the 12th number, if the ratio between 11th and 12th number is 7:3, respectively.Solution
Sum of first 12 numbers = (12 x 25) = 300 Sum of last 5 numbers = (44 x 5) = 220 Sum of 11th and 12th number = (300 - 220) = 80 ATQ- 7x+3x =80 10x=80 X =8 So, 11 th number = 7x =7×8=56 12th number = 3x =3×8 = 24
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