Question

If 120 = 2x x 3y x 5z then the value of x + y + z is- (A) 3 (B) 4 (C) 5 (D) 6​

Answer 1

Answer:

4 is the value of x+y+z

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\sf 120 = {2}^{x}. {3}^{y}. {4}^{z}$

then the value of x + y + z is

(A) 3

(B) 4

(C) 5

(D) 6

EVALUATION

Here the given equation is

$\sf 120 = {2}^{x}. {3}^{y}. {4}^{z}$

$\sf \implies {2}^{x}. {3}^{y}. {4}^{z} = 120$

$\sf \implies {2}^{x}. {3}^{y}. {4}^{z} = 2 \times 2 \times 2 \times 3 \times 5$

$\sf \implies {2}^{x}. {3}^{y}. {4}^{z} = {2}^{3}. {3}^{1}. {4}^{1}$

Thus we have

x = 3 , y = 1 , z = 1

Hence the required value

= x + y + z

= 3 + 1 + 1

= 5

FINAL ANSWER

Hence the correct option is (C) 5

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