Latest Accenture Aptitude Question SOLUTION: If 2x+y = 11, 2y+z = 12 and z+2x = 8, find the value of 2x + 3y +4z. 1) 29 2) 33 3) 25 4) 39

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If 2x+y = 11, 2y+z = 12 and z+2x = 8, find the value of 2x + 3y +4z.
1) 29
2) 33
3) 25
4) 39

Asked In Accenture Sundar Kumar (9 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

Saraswathy  (9 years ago)

2x+y = 11 -->(1)
2y+z = 12 -->(2)
z+2x = 8 --> (3)

from (3)
z = 8-2x

from (2)
2y+8-2x=12
y = x+2

from (1)
2x+(x+2) = 11
3x = 9
x = 3
y = 5
z = 2

2x + 3y + 4z = 2(3) + 3(5) + 4(2) => 29

Ans : 1) 29

Is this solution Helpfull? Yes (30) | No (1)  

Sharmila Devi Ghantasala  (9 years ago)

Z+2x=8
=>z=8-2x,substitute z value in 2y+z=12
=>-2x+2y=4 ,add 2x+y=11&-2x+2y=4 gives. Y=5
Substitute y value in 2&3 equations gives x=3,z=2
Therefore 2x+3y+4z=2(3)+3(5)+4(2)=29

Is this solution Helpfull? Yes (3) | No   

AKASH ROY  (9 years ago)

29.solving these 3 eqn & putting the value of x, y,z in 2x+3y+4z we get 29.

Is this solution Helpfull? Yes (2) | No   

soni  (9 years ago)

2x+y=11------(1)
2y+z=12-------(2)
z+2x=8--------(3)


2x+y=11*2
z+2y=12

4x+2y=22
z+2y=12
_________
4x-z=10--------------(4)

again ,solve eq(4)&(1) we get x=3
now solving eq. 1 & 2 we get x=3,putting the value of x=3 in eq (1) we get the value of y=5,
z=2.

now by putting the value of x=3,y=5,z=2
we get 29 as solution

Is this solution Helpfull? Yes (1) | No   

JANARTHANAN RAM  (8 years ago)

Ans : 29
Without Finding x & y & z
2x+y = 11 -->(1) 2y+z = 12 -->(2) z+2x = 8 ---> (3)

(2)* 2=> 4y+2z=24-----(3)
(3)* 2=> 2z+4x=16-----(4)
(1)*-1=> -2x-y =-11-----(5)
Add (3),(4) and (5)
2x + 3y +4z=29

Is this solution Helpfull? Yes (1) | No   

souharda  (9 years ago)

1) 29
solving we get x=3, y=5 and z=2

Is this solution Helpfull? Yes | No   

Ramya R R  (9 years ago)

Ans 29
X=3 y=5 z=2

Is this solution Helpfull? Yes | No   

Neha V  (9 years ago)

Solving the three linear equations simultaneously the answers for x=3,y=5 and z=2
substituting these values to the given equations the answer is 29.

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SUVATHINI.S  (9 years ago)

opt 1) is the correct ans 2x=11-y; sub the value z-y+11=8; z-y=-3;
2y+z=12 (-)z-y=-3 ; y=5;x=3;z=2;
2(3)+3(5)+4(2)=29

Is this solution Helpfull? Yes | No   

arvind kumar  (9 years ago)

add three equ=>2x+y+2y+z+z+2x=31
2(2x+z)+3y=31 put value from given equ 8
3y=31-16 =>3y=15
y=5,x=3,z=2
2*3+3*5+4*2
29

Is this solution Helpfull? Yes | No   

Nirnoy Nimesh Behera  (6 years ago)

1) 29
z-y=-3 & 2y+z=12 so y=5 and z=2 => x=3

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