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The sum of two positive integers is 34 and their difference is 8. Find their product.
- a)308
- b)273
- c)209
- d)345
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of two positive integers is 34 and their difference is 8. Find...
Let the two positive numbers be x and y
From the given data,
⇒ x + y = 34 ...equation (1)
⇒ x - y = 8 ...equation (2)
By adding equation (1) and equation (2), we get
⇒ 2x = 42
⇒ x = 42/2 = 21
Substitute x = 21 in equation (1)
⇒ x + y = 34
⇒ 21 + y = 34
⇒ y = 34 – 21 = 13
∴ Their product = xy = 21 � 13 = 273
Most Upvoted Answer
The sum of two positive integers is 34 and their difference is 8. Find...
Problem Statement
You have two positive integers whose sum is 34 and whose difference is 8. We need to find their product.
Setting Up the Equations
1. Let the two integers be x and y.
2. From the problem, we derive the following equations:
- x + y = 34 (Equation 1)
- x - y = 8 (Equation 2)
Solving the Equations
To find x and y, we can solve these two equations simultaneously.
- Step 1: Add the Equations
- (x + y) + (x - y) = 34 + 8
- This simplifies to: 2x = 42
- Therefore, x = 42 / 2 = 21.
- Step 2: Substitute x Back
- Substitute x = 21 into Equation 1:
- 21 + y = 34
- This gives y = 34 - 21 = 13.
Finding the Product
Now that we have the integers:
- x = 21
- y = 13
We can find their product:
- Product = x * y = 21 * 13.
Calculating the Product
- 21 * 13 = 273.
Conclusion
The product of the two integers is 273, which corresponds to option 'B'.
Thus, the correct answer is option 'B'.
You have two positive integers whose sum is 34 and whose difference is 8. We need to find their product.
Setting Up the Equations
1. Let the two integers be x and y.
2. From the problem, we derive the following equations:
- x + y = 34 (Equation 1)
- x - y = 8 (Equation 2)
Solving the Equations
To find x and y, we can solve these two equations simultaneously.
- Step 1: Add the Equations
- (x + y) + (x - y) = 34 + 8
- This simplifies to: 2x = 42
- Therefore, x = 42 / 2 = 21.
- Step 2: Substitute x Back
- Substitute x = 21 into Equation 1:
- 21 + y = 34
- This gives y = 34 - 21 = 13.
Finding the Product
Now that we have the integers:
- x = 21
- y = 13
We can find their product:
- Product = x * y = 21 * 13.
Calculating the Product
- 21 * 13 = 273.
Conclusion
The product of the two integers is 273, which corresponds to option 'B'.
Thus, the correct answer is option 'B'.
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The sum of two positive integers is 34 and their difference is 8. Find their product.a)308b)273c)209d)345Correct answer is option 'B'. Can you explain this answer?
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The sum of two positive integers is 34 and their difference is 8. Find their product.a)308b)273c)209d)345Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The sum of two positive integers is 34 and their difference is 8. Find their product.a)308b)273c)209d)345Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two positive integers is 34 and their difference is 8. Find their product.a)308b)273c)209d)345Correct answer is option 'B'. Can you explain this answer?.
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