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The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?
- a)190
- b)200
- c)205
- d)210
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum and difference of two numbers are 19 and 7, respectively. What...
Calculation:
Let the two
x + y = 19 --- [1]
x - y = 7 --- [2]
By the
2x = 26
x = 26/2 = 13
Put x = 13 in eq [1], we get
13 + y = 19
y = 19 - 13
y = 6
Therefore, the two numbers are 13, 6
Sum of their squares = 132 + 62
⇒ 169 + 36 = 205
Hence, 205 is the correct answer.
Let the two
numbers
be x and y.x + y = 19 --- [1]
x - y = 7 --- [2]
By the
method of elimination
, we get2x = 26
x = 26/2 = 13
Put x = 13 in eq [1], we get
13 + y = 19
y = 19 - 13
y = 6
Therefore, the two numbers are 13, 6
Sum of their squares = 132 + 62
⇒ 169 + 36 = 205
Hence, 205 is the correct answer.
Most Upvoted Answer
The sum and difference of two numbers are 19 and 7, respectively. What...
Sum and Difference of Two Numbers
Given that the sum of two numbers is 19 and the difference is 7. Let's denote the numbers as x and y.
Equations
From the given information, we can write the following equations:
1. x + y = 19
2. x - y = 7
Finding the Numbers
By solving the above equations simultaneously, we can find the values of x and y:
Adding the two equations, we get: 2x = 26
Therefore, x = 13
Substitute x back into the first equation to find y: 13 + y = 19
So, y = 6
Sum of Their Squares
Now that we have found the numbers to be 13 and 6, we can calculate the sum of their squares:
13^2 + 6^2 = 169 + 36 = 205
Therefore, the sum of the squares of the two numbers is 205. Hence, the correct answer is option C.
Given that the sum of two numbers is 19 and the difference is 7. Let's denote the numbers as x and y.
Equations
From the given information, we can write the following equations:
1. x + y = 19
2. x - y = 7
Finding the Numbers
By solving the above equations simultaneously, we can find the values of x and y:
Adding the two equations, we get: 2x = 26
Therefore, x = 13
Substitute x back into the first equation to find y: 13 + y = 19
So, y = 6
Sum of Their Squares
Now that we have found the numbers to be 13 and 6, we can calculate the sum of their squares:
13^2 + 6^2 = 169 + 36 = 205
Therefore, the sum of the squares of the two numbers is 205. Hence, the correct answer is option C.
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The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer?
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The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer?.
The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares?a)190b)200c)205d)210Correct answer is option 'C'. Can you explain this answer?.
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