Question : Three positive numbers are in the proportion of 2 : 3 : 5. If the sum of their squares is 342, then find the largest number.
Option 1: 35
Option 2: 55
Option 3: 15
Option 4: 25
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Correct Answer: 15
Solution : Let the numbers be $2x,3x$ and $5x$. According to the question, $4x^2+9x^2+25x^2=342$ ⇒ $38x^2=342$ ⇒ $x^2=9$ ⇒ $x=3$ Thus, the largest number is $5x=5\times3=15$ Hence, the correct answer is 15.
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Question : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
Question : The sum of squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
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