Average of a, b and c is 11 ; average of c, d and e is 17 ; average of e and f is 22 and average of

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Average of $a, b$ and $c$ is $11 ;$ average of $c, d$ and $e$ is $17 ;$ average of $e$ and $f$ is $22$ and average of $e$ and $c$ is $17 .$ Find out the average of $a, b,$ $c , d , e$ and $f ?$

A

$15 \frac{2}{3}$

B

$18 \frac{1}{2}$

C

$21 \frac{1}{3}$

D

$16 \frac{1}{2}$

Solution

Total of $a+b+c=33, c+d+e=51$

$e+f=44, \quad e+c=34, \quad d=51-34=17$

$a+b+c+d+e+f=33+17+44=94$

Average of $a, b, c, d, e, f=\frac{94}{6}=15 \frac{2}{3}$

Standard 13

Quantitative Aptitude

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