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The two numbers whose sum is 27 and their product is 182 are
- a)12 and 13
- b)12 and 15
- c)14 and 15
- d)13 and 14
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The two numbers whose sum is 27 and their product is 182 area)12 and 1...
Explanation:Let the one number be xx .As the sum of numbers is 27 , then the other number will be (27−x)(27−x) According to question
Most Upvoted Answer
The two numbers whose sum is 27 and their product is 182 area)12 and 1...
Given Information:
The sum of two numbers is 27 and their product is 182.
Understanding the Problem:
We need to find two numbers that satisfy the given conditions.
Solution:
Step 1:
Let's assume the two numbers are x and y.
Given:
x + y = 27
xy = 182
Step 2:
From the first equation, we can rewrite it as y = 27 - x and substitute it into the second equation:
x(27 - x) = 182
27x - x^2 = 182
x^2 - 27x + 182 = 0
Step 3:
Now, we need to solve the quadratic equation:
(x - 13)(x - 14) = 0
This gives us x = 13 or x = 14.
Step 4:
Substitute the values of x back into the first equation to find the corresponding values of y:
For x = 13:
13 + y = 27
y = 27 - 13
y = 14
For x = 14:
14 + y = 27
y = 27 - 14
y = 13
Therefore, the two numbers are 13 and 14, which satisfy the given conditions of sum and product. Hence, the correct answer is option 'D' - 13 and 14.
The sum of two numbers is 27 and their product is 182.
Understanding the Problem:
We need to find two numbers that satisfy the given conditions.
Solution:
Step 1:
Let's assume the two numbers are x and y.
Given:
x + y = 27
xy = 182
Step 2:
From the first equation, we can rewrite it as y = 27 - x and substitute it into the second equation:
x(27 - x) = 182
27x - x^2 = 182
x^2 - 27x + 182 = 0
Step 3:
Now, we need to solve the quadratic equation:
(x - 13)(x - 14) = 0
This gives us x = 13 or x = 14.
Step 4:
Substitute the values of x back into the first equation to find the corresponding values of y:
For x = 13:
13 + y = 27
y = 27 - 13
y = 14
For x = 14:
14 + y = 27
y = 27 - 14
y = 13
Therefore, the two numbers are 13 and 14, which satisfy the given conditions of sum and product. Hence, the correct answer is option 'D' - 13 and 14.
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Question Description
The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer?.
The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The two numbers whose sum is 27 and their product is 182 area)12 and 13b)12 and 15c)14 and 15d)13 and 14Correct answer is option 'D'. Can you explain this answer?.
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