The ratio of three numbers is $3 : 4 : 5$ and sum of their squares is $1250$ . The sum of the numbers is

30

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50

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60

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90

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Solution

The correct option is B $60$
Let the no.s be $3 x, 4 x, 5 x$ then,
$9 x^{2} + 16 x^{2} + 25 x^{2} = 1250$
$⟹ 50 x^{2} = 1250$
$⟹ x = 5$
Sum of numbers $= 3 x + 4 x + 5 x = 12 x = 12 \times 5 = 60$

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