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
Answer (1)
24th Jan, 2024
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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