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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?
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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
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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.
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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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