Let a ,b, c , d , e be five numbers satisfying the system of equa… - Vidyadip

MCQ

Let $a$ ,$b$, $c$ , $d$ , $e$ be five numbers satisfying the system of equations

$2a + b + c + d + e = 6$
$a + 2b + c + d + e = 12$
$a + b + 2c + d + e = 24$
$a + b + c + 2d + e = 48$
$a + b + c + d + 2e = 96$ ,

then $|c|$ is equal to

A
$6$
✓
$7$
C
$8$
D
$25$

✓

Answer

Correct option: B.

$7$

b
adding all we have $6(a + b + c + d + e) = 6.31$

$\sum {a\, = 31\, \Rightarrow \,c\, = \, - 7} $

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