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Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
- a)Rs. 4, Rs. 23
- b)Rs. 13, Rs. 17
- c)Rs. 15, Rs. 14
- d)Rs. 17, Rs. 13
Correct answer is option 'B'. Can you explain this answer?
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Two bus tickets from city A to B and three tickets from city A to C co...
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To solve this problem, we can use a system of equations approach. Let's denote the fare for a ticket from city A to B as 'x' and the fare for a ticket from city A to C as 'y'.
Let's set up the equations based on the given information:
Equation 1: 2x + 3y = 77
Equation 2: 3x + 2y = 73
We have two equations with two unknowns, so we can solve them simultaneously.
Solving the equations:
To eliminate one variable, we can multiply Equation 1 by 3 and Equation 2 by 2:
Equation 1: 6x + 9y = 231
Equation 2: 6x + 4y = 146
Now, we can subtract Equation 2 from Equation 1 to eliminate 'x':
(6x + 9y) - (6x + 4y) = 231 - 146
5y = 85
Divide both sides of the equation by 5:
y = 17
Now, we can substitute the value of 'y' back into one of the original equations to find the value of 'x'. Let's use Equation 1:
2x + 3(17) = 77
2x + 51 = 77
2x = 77 - 51
2x = 26
Divide both sides of the equation by 2:
x = 13
Therefore, the fare for a ticket from city A to B is Rs. 13, and the fare for a ticket from city A to C is Rs. 17.
Hence, option 'B' (Rs. 13, Rs. 17) is the correct answer.
Let's set up the equations based on the given information:
Equation 1: 2x + 3y = 77
Equation 2: 3x + 2y = 73
We have two equations with two unknowns, so we can solve them simultaneously.
Solving the equations:
To eliminate one variable, we can multiply Equation 1 by 3 and Equation 2 by 2:
Equation 1: 6x + 9y = 231
Equation 2: 6x + 4y = 146
Now, we can subtract Equation 2 from Equation 1 to eliminate 'x':
(6x + 9y) - (6x + 4y) = 231 - 146
5y = 85
Divide both sides of the equation by 5:
y = 17
Now, we can substitute the value of 'y' back into one of the original equations to find the value of 'x'. Let's use Equation 1:
2x + 3(17) = 77
2x + 51 = 77
2x = 77 - 51
2x = 26
Divide both sides of the equation by 2:
x = 13
Therefore, the fare for a ticket from city A to B is Rs. 13, and the fare for a ticket from city A to C is Rs. 17.
Hence, option 'B' (Rs. 13, Rs. 17) is the correct answer.
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Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer?.
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?a)Rs. 4, Rs. 23 b)Rs. 13, Rs. 17 c)Rs. 15, Rs. 14 d)Rs. 17, Rs. 13Correct answer is option 'B'. Can you explain this answer?.
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