Question

If a quantity is divided in the ratio 3:5 and the sum of their squares id 306.find the larger number

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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♠ Let the numbers be 3x and 5x.



♠ Then, it is given that the sum of their squares is 306

→→→ (3x)² + (5x)² = 306

=> 9x² + 25x² = 306

=> 34x² = 306

=> x² = 306/34

=> x² = 9.

=> x = √9

=> x = 3.



•°• The numbers are -

• 3x = 3 × 3

• 5x = 5 × 3 = 15



♥Out of them, 15 is the larger number.
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$<marquee>Thank you.$