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The sum of two numbers is equal to four times their difference. What is the ratio of the bigger number to the smaller number?
- a)4 : 3
- b)5 : 2
- c)5 : 3
- d)4 : 1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of two numbers is equal to four times their difference. What i...
Let the number = x and y
x + y = 4 × (x – y)
x + y = 4x – 4y
5y = 3x
x : y = 5 : 3
Hence, Option C is correct.
x + y = 4 × (x – y)
x + y = 4x – 4y
5y = 3x
x : y = 5 : 3
Hence, Option C is correct.
Most Upvoted Answer
The sum of two numbers is equal to four times their difference. What i...
Understanding the Problem:
The problem states that the sum of two numbers is equal to four times their difference. Let's denote the two numbers as x and y.
Formulating the Equation:
According to the problem, we can write the equation as:
x + y = 4(x - y)
Solving the Equation:
Expanding the equation:
x + y = 4x - 4y
Rearranging the terms:
y + 4y = 4x - x
5y = 3x
y = 3x/5
Calculating the Ratio:
The ratio of the bigger number (y) to the smaller number (x) is:
y : x
= 3x/5 : x
= 3 : 5
Therefore, the ratio of the bigger number to the smaller number is 3 : 5. Hence, the correct answer is option 'C' (5 : 3).
The problem states that the sum of two numbers is equal to four times their difference. Let's denote the two numbers as x and y.
Formulating the Equation:
According to the problem, we can write the equation as:
x + y = 4(x - y)
Solving the Equation:
Expanding the equation:
x + y = 4x - 4y
Rearranging the terms:
y + 4y = 4x - x
5y = 3x
y = 3x/5
Calculating the Ratio:
The ratio of the bigger number (y) to the smaller number (x) is:
y : x
= 3x/5 : x
= 3 : 5
Therefore, the ratio of the bigger number to the smaller number is 3 : 5. Hence, the correct answer is option 'C' (5 : 3).
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Question Description
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