Topics

If 3y + 9x = 54 and \( \Large \frac{28x}{13y} \) = \( \Large \frac{140}{39} \) then what is the value of y - x ?


A) -1

B) -2

C) 2

D) 1

Correct Answer:
B) -2

Description for Correct answer:
3y + 9x = 54

=> 3 ( y + 3x ) = 54

=> 3x + y = \( \Large \frac{54}{3} \) = 18 .... (i)

and, \( \Large \frac{28x}{13y} = \frac{140}{39} \)

=> \( \Large \frac{x}{y} = \frac{140}{39} \times \frac{13}{28} \)

=> \( \Large \frac{x}{y} = \frac{5}{3} \)

=> 5y = 3x

=> 5y - 3x = 0 .... (ii)

Adding equations (i) and (ii), we get

3x + y + 5y - 3x = 18

=> 6y = 18

=> y = \( \Large \frac{18}{6} \) = 3

From equation (ii),

5 \( \Large \times \) 3 - 3x = 0

=> 3x = 15

=> x = \( \Large \frac{15}{3} \) = 5

\( \Large \therefore \) y - x = 3 - 5 = -2

Part of solved Linear Equations questions and answers : >> Aptitude >> Linear Equations




Comments
No comments available




Similar Questions
1). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) - 1 = 0

II. \( \Large y^{2} \) + 4y + 3 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
2). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) - 7x + 12 = 0

II. \( \Large y^{2} \) - 12y + 32 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
3). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{3} \) - 371 = 629

II. \( \Large y^{3} \) - 543 = 788
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
4). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. 5x + 2y = 31

II. 3x + 7y = 36
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
5). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large 2x^{2} \) + 11x + 12 = 0

II. \( \Large 5y^{2} \) + 27y + 10 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x = y or the relationship cannot be established.
-- View Answer


6). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I.\( \Large 2x^{2} \) + 11x + 14 = 0

II.\( \Large 4y^{2} \) + 12y + 9 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
7). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I.\( \Large x^{2} \) - 4 = 0

II.\( \Large y^{2} \) + 6y + 9 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
8). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I.\( \Large x^{2} \) - 7x + 12 = 0

II.\( \Large y^{2} \) + y - 12 = 0
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
9). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{2} \) = 729

II. y = \( \Large \sqrt{729} \)
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x \( \Large \leq \) y
-- View Answer
10). In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. \( \Large x^{4} \) - 227 = 398

II. \( \Large y^{2} \) + 321 = 346
A). x > y
B). x \( \Large \geq \) y
C). x < y
D). x = y or the relationship cannot be established.
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us