The product of two numbers is 119 and their AM is 12. Find the num | Filo
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Class 11

Math

Algebra

Sequences and Series

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The product of two numbers is and their AM is . Find the numbers.

Solution: We know that the arithmetic mean between two numbers and is 
   
Here, it is given that , therefore,
 


It is also given that the product of two numbers and is , thus,


Now using equations 1 and 2, consider,

implies that

Adding equations 1 and 3, we have



Substitute the value of in equation 1 as follows:


 Hence, the numbers are  and .
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