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Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?
- a)64
- b)72
- c)65
- d)32
- e)None of the Above
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two numbers such that the sum of twice the first number and thrice the...
2x + 3y = 100 –(i)
3x + 2y = 120 –(ii)
By Solving eqn (i) and (ii)
x = 32, y = 12
3x + 2y = 120 –(ii)
By Solving eqn (i) and (ii)
x = 32, y = 12
Most Upvoted Answer
Two numbers such that the sum of twice the first number and thrice the...
Given information:
- Sum of 2 times first number and 3 times second number = 100
- Sum of 3 times first number and 2 times second number = 120
Let's assume:
- First number = x
- Second number = y
Equations can be written as:
- 2x + 3y = 100
- 3x + 2y = 120
To solve for x and y, we can use elimination method:
- Multiply the first equation by 2 and the second equation by 3 to eliminate y:
- 4x + 6y = 200
- 9x + 6y = 360
- Subtract the first equation from the second:
- 5x = 160
- Solve for x:
- x = 32
- Substitute x = 32 into one of the original equations to solve for y:
- 2(32) + 3y = 100
- 3y = 36
- y = 12
Therefore, the larger number is the first number, which is 32. Hence, the answer is option (d) 32.
- Sum of 2 times first number and 3 times second number = 100
- Sum of 3 times first number and 2 times second number = 120
Let's assume:
- First number = x
- Second number = y
Equations can be written as:
- 2x + 3y = 100
- 3x + 2y = 120
To solve for x and y, we can use elimination method:
- Multiply the first equation by 2 and the second equation by 3 to eliminate y:
- 4x + 6y = 200
- 9x + 6y = 360
- Subtract the first equation from the second:
- 5x = 160
- Solve for x:
- x = 32
- Substitute x = 32 into one of the original equations to solve for y:
- 2(32) + 3y = 100
- 3y = 36
- y = 12
Therefore, the larger number is the first number, which is 32. Hence, the answer is option (d) 32.
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Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?a)64b)72c)65d)32e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
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Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?a)64b)72c)65d)32e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?a)64b)72c)65d)32e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is larger number?a)64b)72c)65d)32e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
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