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A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.
- a)1
- b)9
- c)25
- d)16
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A positive number is 80% of another positive number. The sum of their...
Given-
A number is 80% of another number.
Let the first number = A
Second number = 80% × A
= 4A/5
The sum of their squares is 656.
Since both the numbers are positive,
⇒ A = 20
First number = A = 20
Second number
= 4A/5 = 16
Square of the difference of the numbers =(20−16)2
= (4)2
= 16
Hence, the correct option is (D).
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Community Answer
A positive number is 80% of another positive number. The sum of their...
Given Information:
- Let one positive number be x. Another positive number is 0.8x (80% of x).
- The sum of their squares is 656.
Step 1: Formulate the Equations
- x + 0.8x = 656
- x^2 + (0.8x)^2 = 656
Step 2: Solve the Equations
- From the first equation, x = 400.
- Substituting x = 400 in the second equation, we get 400^2 + (0.8*400)^2 = 656.
- 400^2 + 320^2 = 656.
- 160000 + 102400 = 656.
- 262400 = 656.
- The square of the difference between the numbers is (400 - 320)^2 = 80^2 = 6400.
Therefore, the square of the difference of the numbers is 6400, which is equivalent to option 'D'.
- Let one positive number be x. Another positive number is 0.8x (80% of x).
- The sum of their squares is 656.
Step 1: Formulate the Equations
- x + 0.8x = 656
- x^2 + (0.8x)^2 = 656
Step 2: Solve the Equations
- From the first equation, x = 400.
- Substituting x = 400 in the second equation, we get 400^2 + (0.8*400)^2 = 656.
- 400^2 + 320^2 = 656.
- 160000 + 102400 = 656.
- 262400 = 656.
- The square of the difference between the numbers is (400 - 320)^2 = 80^2 = 6400.
Therefore, the square of the difference of the numbers is 6400, which is equivalent to option 'D'.
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A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer?
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A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer?.
A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 80% of another positive number. The sum of their squares is 656. Find the square of the difference of the numbers.a)1b)9c)25d)16Correct answer is option 'D'. Can you explain this answer?.
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