The sum of two numbers is 6 times their geometric mean show that n | Filo

Class 11

Math

Algebra

Sequences and Series

549
150

The sum of two numbers is times their geometric mean show that numbers are in the ratio

Solution: Let the two numbers are and .
Thus their
According to the given condition,

Also, ........(2)
Adding (1) and (2) , we obtain

Substituting the value of in (1), we obtain

Thus , the required ratio is
549
150

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