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find two numbers whose sum is 27 and product is 182.
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Most Upvoted Answer
find two numbers whose sum is 27 and product is 182. Related: Ex 4.1 ...
Problem:

Find two numbers whose sum is 27 and product is 182.


Solution:

Let's assume the two numbers be x and y. Then we have:


  • x + y = 27

  • xy = 182



Step 1: Simplify the First Equation

From the first equation, we can solve for one variable in terms of the other. For instance, we can solve for x:


  • x + y = 27

  • x = 27 - y



Step 2: Substitute the Value of x

Now, we can substitute the value of x into the second equation and solve for y:


  • xy = 182

  • (27 - y)y = 182

  • 27y - y^2 = 182

  • y^2 - 27y + 182 = 0

  • (y - 14)(y - 13) = 0



Step 3: Find the Values of x and y

From the last equation, we can see that y = 14 or y = 13. If y = 14, then x = 13. If y = 13, then x = 14. Therefore, the two numbers are:


  • x = 13 and y = 14

  • x = 14 and y = 13



Conclusion:

The two numbers are 13 and 14 or 14 and 13. Both pairs of numbers have a sum of 27 and a product of 182.
Community Answer
find two numbers whose sum is 27 and product is 182. Related: Ex 4.1 ...
Let the number be X and Y.
according to the question X + Y = 27
and XY =182
hence X =182/Y---1
putting the value of x we get
X + Y = 27
182/Y + Y = 27
182 + y square equal to 27 y
now solve the equation you will get the verified answer.....
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find two numbers whose sum is 27 and product is 182. Related: Ex 4.1 NCERT Solutions - Quadratic Equations?
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