Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:
Option 1: 2 : 1
Option 2: 1 : 3
Option 3: 1 : 1
Option 4: 1 : 2

Question

Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:

Option 1: 2 : 1

Option 2: 1 : 3

Option 3: 1 : 1

Option 4: 1 : 2

Team Careers360 · Accepted Answer

Correct Answer: 1 : 1

Solution : Let the numbers be $x$ and $y$.
According to the question,
$(x + y)^2 = 4xy$
⇒ $x^2+y^2+2xy-4xy = 0$
⇒ $x^2+y^2-2xy = 0$
⇒ $(x -y)^{2} = 0$
⇒ $x = y$
$ herefore$ The required ratio is 1 : 1.
Hence, the correct answer is 1 : 1.

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Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:Option 1: 2 : 1Option 2: 1 : 3Option 3: 1 : 1Option 4: 1 : 2

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Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:
Option 1: 2 : 1
Option 2: 1 : 3
Option 3: 1 : 1
Option 4: 1 : 2