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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?
Most Upvoted 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.
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Community 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).
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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 : 3b)5 : 2c)5 : 3d)4 : 1Correct answer is option 'C'. Can you explain this answer?
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