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The ratio of two numbers is 3 ∶ 2 and the sum of their squares is 468. Find the larger number.
- a)18
- b)15
- c)21
- d)24
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ratio of two numbers is 3 2 and the sum of their squares is 468. F...
Given:
Ratio of two numbers = 3 ∶ 2
Sum of their squares = 468
Calculation:
Let the numbers be 3x and 2x
Sum of their squares = (3x)2 + (2x)2
⇒ Sum of their squares = 9x2 + 4x2 = 13x2
Now, 13x2 = 468
⇒ x2 = 36
⇒ x = 6
Larger number = 3x
⇒ 3 × 6 = 18
∴ The larger number is 18
Most Upvoted Answer
The ratio of two numbers is 3 2 and the sum of their squares is 468. F...
To solve this problem, we need to use the given information to set up a system of equations and then solve for the unknown variables.
Let's assume the two numbers are '3x' and '2x', where 'x' is a constant. This is because the ratio of the two numbers is given as 3:2.
The sum of their squares is given as 468, so we can write the equation:
(3x)^2 + (2x)^2 = 468
Expanding and simplifying the equation:
9x^2 + 4x^2 = 468
13x^2 = 468
Dividing both sides of the equation by 13:
x^2 = 36
Taking the square root of both sides:
x = 6
Now that we have found the value of 'x', we can substitute it back into our assumption to find the two numbers:
First number = 3x = 3 * 6 = 18
Second number = 2x = 2 * 6 = 12
Since we are asked to find the larger number, the answer is 18.
Therefore, the correct answer is option 'A' - 18.
Let's assume the two numbers are '3x' and '2x', where 'x' is a constant. This is because the ratio of the two numbers is given as 3:2.
The sum of their squares is given as 468, so we can write the equation:
(3x)^2 + (2x)^2 = 468
Expanding and simplifying the equation:
9x^2 + 4x^2 = 468
13x^2 = 468
Dividing both sides of the equation by 13:
x^2 = 36
Taking the square root of both sides:
x = 6
Now that we have found the value of 'x', we can substitute it back into our assumption to find the two numbers:
First number = 3x = 3 * 6 = 18
Second number = 2x = 2 * 6 = 12
Since we are asked to find the larger number, the answer is 18.
Therefore, the correct answer is option 'A' - 18.
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The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer?.
The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 3 2 and the sum of their squares is 468. Find the larger number.a)18b)15c)21d)24Correct answer is option 'A'. Can you explain this answer?.
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