The average of $25$ results is $18$ . The average of first twelve of them is 14 and of last twelve is $17$ . Find the thirteenth result.

80

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79

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78

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77

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Solution

The correct option is D $78$
Average of $25$ $=$ $18$
Sum of $25$ numbers $=$ $25 \times 18 = 450$
Average of $1$ st $12$ $=$ $14$
Sum of $12$ numbers $= 14 \times 12 = 168$
Average of last twelve $=$ $17$
Sum of last twelve numbers $= 17 \times 12 = 204$
Value of $13$ th number $=$ $450$ -( $204$ + $168$ )
$=$ $450$ -( $372$ )
$=$ $78$ Ans

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The average of 25 results is 18. The average of first twelve of them is 14 and of last twelve is 17. Find the thirteenth result.

The correct option is D 78Average of 25 = 18Sum of 25 numbers = 25×18=450Average of 1st 12 = 14Sum of 12 numbers =14×12=168Average of last twelve = 17Sum of last twelve numbers =17×12=204Value of 13th number= 450-(204 + 168) =450-(372) = 78 Ans

The average of $25$ results is $18$ . The average of first twelve of them is 14 and of last twelve is $17$ . Find the thirteenth result.